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Topological Groups: Yesterday, Today, Tomorrow

ISBN: 9783038422686 9783038422693 Year: Pages: VIII, 220 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Mathematics
Added to DOAB on : 2016-12-05 09:30:44
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In 1900, David Hilbert asked whether each locally euclidean topological group admits a Lie group structure. This was the fifth of his famous 23 questions which foreshadowed much of the mathematical creativity of the twentieth century. It required half a century of effort by several generations of eminent mathematicians until it was settled in the affirmative. These efforts resulted over time in the Peter-Weyl Theorem, the Pontryagin-van Kampen Duality Theorem for locally compact abelian groups, and finally the solution of Hilbert 5 and the structure theory of locally compact groups, through the combined work of Andrew Gleason, Kenkichi Iwasawa, Deane Montgomery, and Leon Zippin. For a presentation of Hilbert 5 see the 2014 book “Hilbert’s Fifth Problem and Related Topics” by the winner of a 2006 Fields Medal and 2014 Breakthrough Prize in Mathematics, Terence Tao.It is not possible to describe briefly the richness of the topological group theory and the many directions taken since Hilbert 5. The 900 page reference book in 2013 “The Structure of Compact Groups” by Karl H. Hofmann and Sidney A. Morris, deals with one aspect of compact group theory. There are several books on profinite groups including those written by John S. Wilson (1998) and by Luis Ribes and ‎Pavel Zalesskii (2012). The 2007 book “The Lie Theory of Connected Pro-Lie Groups” by Karl Hofmann and Sidney A. Morris, demonstrates how powerful Lie Theory is in exposing the structure of infinite-dimensional Lie groups.The study of free topological groups initiated by A.A. Markov, M.I. Graev and S. Kakutani, has resulted in a wealth of interesting results, in particular those of A.V. Arkhangelʹskiĭ and many of his former students who developed this topic and its relations with topology. The book “Topological Groups and Related Structures” by Alexander Arkhangelʹskii and Mikhail Tkachenko has a diverse content including much material on free topological groups. Compactness conditions in topological groups, especially pseudocompactness as exemplified in the many papers of W.W. Comfort, has been another direction which has proved very fruitful to the present day.

Health Among the Elderly in Germany

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Book Series: Beitrage zur Bevölkerungswissenschaft ISBN: 9783847402886 9783847406068 Year: Pages: 214 DOI: 10.3224/84740606 Language: English
Publisher: Verlag Barbara Budrich
Subject: Social Sciences
Added to DOAB on : 2018-09-13 11:01:03
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Whether increasing life expectancy leads to better health remains still controversial. Three topics are explored: (1) vanguard groups which inform about possible levels of health if the general social and environmental conditions were to approach those of the vanguard group; (2) the social and behavioral determinants of health differentiated into proximal and distal factors; (3) vulnerable groups such as migrants and the health differences between migrant groups. Newly available population-based data as well as new study designs and advanced statistical modelling form the basis for the empirical analyses.

Challenges to Mean-Based Analysis in Psychology: The Contrast Between Individual People and General Science

Authors: ---
Book Series: Frontiers Research Topics ISSN: 16648714 ISBN: 9782889450435 Year: Pages: 114 DOI: 10.3389/978-2-88945-043-5 Language: English
Publisher: Frontiers Media SA
Subject: Science (General) --- Psychology
Added to DOAB on : 2018-02-27 16:16:44
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In a recent paper we (Speelman & McGann, 2013) argued that psychology’s reliance on data analysis methods that are based on group averages has resulted in a science of group phenomena that may be misleading about the nature of and reasons for individual behaviour. The paper highlighted a tension between a science in search of general laws on the one hand, and the individual, variable, and diverse nature of human behaviour on the other. This Research Topic explored this concern about the pitfalls of using the mean for the basis of psychological science. The problem is universal in its applicability to psychology, and opinion papers, reviews, and original empirical research from all areas of the discipline were invited. A total of 16 authors contributed 9 articles to the Topic. The range of issues that the authors viewed through the lens provided is impressive. The papers in this collection include a range of perspectives that provide concrete examples of how to approach research design, data collection, and analysis differently. No one contribution will provide a solution to our multifarious challenges, but nor should it. Our subject matter is complex and subtle, our investigations and methodological techniques will need to be equally so.

Keywords

mean --- Average --- variability --- inference --- groups --- Individuals

Quantization on Nilpotent Lie Groups

Authors: ---
Book Series: Progress in Mathematics ISSN: 07431643 ISBN: 9783319295572 9783319295589 Year: Volume: 314 Pages: 557 DOI: 10.1007/978-3-319-29558-9 Language: English
Publisher: Springer Nature
Subject: Statistics --- Biotechnology --- Computer Science --- Pharmacy and materia medica
Added to DOAB on : 2016-04-21 11:24:52
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This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups.The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.

Creating Diversities

Authors: --- ---
Book Series: Studia Fennica Folkloristica ISBN: 9789518580716 9789517466318 9789518580723 Year: Pages: 307 DOI: 10.21435/sff.14 Language: English
Publisher: Finnish Literature Society / SKS
Subject: Sociology --- History --- Migration --- Religion --- Languages and Literatures
Added to DOAB on : 2019-01-15 13:33:11
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"The effects of globalization and the momentous changes to the political map of Europe have led to a world in which multiculturalism and ethnic differences have become issues of increasing importance. In Nordic countries, relationships between new immigrants, local ethnic groups and majorities are created in ongoing and sometimes heated discussions. In transforming multicultural societies, folklore has taken on new manifestations and meanings. How can folklore studies illuminate the present cultural, political and historical changes? ""Creating Diversities. Folklore, Religion and the Politics of Heritage"", edited by Anna-Leena Siikala, Barbro Klein and Stein R. Mathisen, seeks answers to this question. It emphasizes two important factors in the cultural and political exchanges among historical minorities, recent immigrants, and the majority groups dictating the conditions of these exchanges. The first factor is religion, which is a powerful tool in the construction of ethnic selves and in the establishment of boundaries between groups. The second factor is the role of national and regional folklore archives and ethnographic and cultural historical museums which create ideas and images of minorities. These representations, created in different political climates, affect the general understanding of the people depicted. Fifteen well-known folklorists and ethnographers from Norway, Sweden, Finland, Estonia and the United States offer insights and background material on these problems. In addition to immigrants and ethnic minorities in the Nordic countries, especially the Sámi, examples are sought from among the Finno-Ugrian minorities in Russia and the Nordic population in North America. "

21 Effective Cooperation Between Strangers in Unexpected and Dangerous Situations (Book chapter)

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ISBN: 9788202535025 Year: Pages: 14 DOI: 10.23865/noasp.36.ch21 Language: English
Publisher: Cappelen Damm Akademisk/NOASP (Nordic Open Access Scholarly Publishing)
Subject: Sociology --- Social Sciences
Added to DOAB on : 2019-01-15 13:34:08
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"This chapter aims to discuss what it takes to make people or groups that do not know each other previously establish effective cooperation during unforeseen events. The focus is on the formation process of “swift trust”, and the potential prerequisites and outcomes of such trust, seen as an alternative to traditional, history-based trust approaches that dominate the research literature of today. “Swift trust” may enable effective cooperation even among people that are unfamiliar with each other. This is seen as a relevant perspective because such temporal groups often handle unforeseen and critical events. Given the limited amount of research on “swift trust”, the chapter also aims to identify future research questions. In the analysis, I utilize different theoretical perspectives, including the social sciences, experimental psychology and leadership, and seek to conclude the investigation by identifying different leadership strategies that may stimulate the formation of “swift trust”."

Good Governance in the Era of Global Neoliberalism

Authors: --- ---
Book Series: Routledge Studies in the Modern World Economy ISBN: 9780203478691 9780415341165 9780415648080 9781134296491 9781134296484 9781134296446 Year: DOI: 10.4324/9780203478691 Language: English
Publisher: Taylor & Francis
Subject: Business and Management --- Economics --- Political Science
Added to DOAB on : 2019-11-08 11:21:23
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This new collection critically examines the new global policy of 'good governance'. This catchphrase of aid policy and development thinking has been the subject of too little analysis to date. This book redresses the balance. It places the prefix 'good', and exactly what that means, under the microscope and examines the impact of neoliberal governance in a wide range of countries and territories, including Chile, Russia, Argentina and Indonesia.

Child Soldiers in Context

Authors: ---
ISBN: 9783863954550 Year: DOI: 10.17875/gup2020-1325 Language: English
Publisher: Universitätsverlag Göttingen
Subject: Sociology
Added to DOAB on : 2020-07-27 23:58:09
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Long before “IS” and “Boko Haram”, the messianic “Lord’s Resistance Army” (LRA) in Uganda was considered as one of the most brutal rebel groups in Africa, or in the world, and as one which clearly specialized in the abduction, “recruitment” and deployment of children and adolescents as ombatants. This book presents the results of a research project on former child soldiers and rebels in northern Uganda and their “reintegration” into society after their return to civilian life. The authors investigate their biographies and the social figurations or relationships between them and members of the civilian population that emerged following their return, not least in their families of origin, and show which conditions facilitate or hinder their “(re)integration” into civilian life. The discussion also shows what distinguishes them from former members of rebel groups in the neighboring region of West Nile, in respect of their history and how they were recruited, as well as in their present situation and social position.

Hardy Inequalities on Homogeneous Groups

Authors: ---
Book Series: Progress in Mathematics ISBN: 9783030028954 Year: Pages: 571 DOI: 10.1007/978-3-030-02895-4 Language: English
Publisher: Springer Nature
Subject: Mathematics
Added to DOAB on : 2020-02-04 11:21:19
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This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Housing Estates in Europe

Authors: --- ---
Book Series: The Unknown Nineteenth Century ISBN: 9783319928135 9783319928128 Year: Pages: 429 DOI: 10.1007/978-3-319-92813-5 Language: English
Publisher: Springer Nature Grant: FP7 Ideas: European Research Council - 615159
Subject: Social Sciences
Added to DOAB on : 2019-03-22 11:21:09
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This open access book explores the formation and socio-spatial trajectories of large housing estates in Europe. Are these estates clustered or scattered? Which social groups originally had access to residential space in housing estates? What is the size, scale and geography of housing estates, their architectural and built environment composition, services and neighbourhood amenities, and metropolitan connectivity? How do housing estates contribute to the urban mosaic of neighborhoods by ethnic and socio-economic status? What types of policies and planning initiatives have been implemented in order to prevent the social downgrading of housing estates?&#xD;&#xD;The collection of chapters in this book addresses these questions from a new perspective previously unexplored in scholarly literature. The social aspects of housing estates are thoroughly investigated (including socio-demographic and economic characteristics of current and past inhabitants; ethnicity and segregation patterns; population dynamics; etc.), and the physical composition of housing estates is described in significant detail (including building materials; building form; architectural and landscape design; built environment characteristics; etc.). This book is timely because the recent global economic crisis and Europe’s immigration crisis demand a thorough investigation of the role large housing estates play in poverty and ethnic concentration. Through case studies of housing estates in 14 European centers, the book also identifies policy measures that have been used to address challenges in housing estates throughout Europe.

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