Categorical Perspectives

Categorical Perspectives

Author: Jürgen Koslowski

Publisher: Springer Science & Business Media

Published: 2001-04-27

Total Pages: 302

ISBN-13: 9780817641863

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"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas. Contributors: H.L. Bentley * G. Castellini * R. El Bashir * H. Herrlich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina


Constructivist Perspectives on Developmental Psychopathology and Atypical Development

Constructivist Perspectives on Developmental Psychopathology and Atypical Development

Author: Daniel P. Keating

Publisher: Psychology Press

Published: 2013-01-11

Total Pages: 269

ISBN-13: 1134748582

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This volume is the result of a symposium titled "Constructivist Approaches to Atypical Development and Developmental Psychopathology." What emerges from the work included here is a record of innovative extensions, refinements, and applications of the concept of constructivism. The chapters not only demonstrate the compatibility of constructivism with investigations of atypicality, but also the generation of a constructivist perspective for a wide array of problems in developmental psychology.


Categorical Structures and Their Applications

Categorical Structures and Their Applications

Author: Werner G„hler

Publisher: World Scientific

Published: 2004

Total Pages: 356

ISBN-13: 981256053X

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The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich ? one of the leading category theorists of the world ? to whom this volume is dedicated in view of his 65th birthday. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of the book the reader will find a complete list of Horst Herrlich's publications.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences


EPSA11 Perspectives and Foundational Problems in Philosophy of Science

EPSA11 Perspectives and Foundational Problems in Philosophy of Science

Author: Vassilios Karakostas

Publisher: Springer Science & Business Media

Published: 2013-12-16

Total Pages: 489

ISBN-13: 3319013068

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This book contains a selection of original conference papers covering all major fields in the philosophy of science, that have been organized into themes. The first section of this volume begins with the formal philosophy of science, moves on to idealization, representation and explanation and then finishes with realism, anti-realism and special science laws. The second section covers the philosophy of the physical sciences, looking at quantum mechanics, spontaneous symmetry breaking, the philosophy of space and time, linking physics and metaphysics and the philosophy of chemistry. Further themed sections cover the philosophies of the life sciences, the cognitive sciences and the social sciences. Readers will find that this volume provides an excellent overview of the state of the art in the philosophy of science, as practiced in different European countries. ​


Topology

Topology

Author: Tai-Danae Bradley

Publisher: MIT Press

Published: 2020-08-18

Total Pages: 167

ISBN-13: 0262359626

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A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.


Competition

Competition

Author: Stefan Arora-Jonsson

Publisher: Oxford University Press

Published: 2021-06-30

Total Pages: 256

ISBN-13: 0192652869

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One of the predominant trends of modern society is the pervasive presence of competition. No longer just a function of economic markets or democratic systems, competition has become a favoured tool for governing people and organizations, from the provision of schooling and elder care to the way we consume popular culture. Yet social scientists have played a surprisingly modest role in analysing its implications, as the discussion of competition has largely been confined to its narrow economic meaning. This book opens up competition for the study of social scientists. Its central message is that while competition seems ubiquitous, it should not be taken for granted or be naturalized as an inevitable aspect of human existence. Its emergence, maintenance, and change are based on institutions and organizational efforts, and a central challenge for social science is to learn more about these processes and their outcomes. With the use of a novel definition of competition, more fundamental questions can be addressed than merely whether or not competition works. How is competition constructed - and by whom? Which behaviours result from competition? What are its consequences? Can competition be removed? And, how do these factors vary with the object of competition - be it money, attention, status, or other scarce and desired objects? This book investigates these and more questions in studies of competition among and within schools, universities, multinational corporations, auditors, waste-disposal firms, fashion designers, and more.


New Perspectives in Algebra, Topology and Categories

New Perspectives in Algebra, Topology and Categories

Author: Maria Manuel Clementino

Publisher: Springer Nature

Published: 2021-10-16

Total Pages: 266

ISBN-13: 303084319X

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This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.


Categorical Homotopy Theory

Categorical Homotopy Theory

Author: Emily Riehl

Publisher: Cambridge University Press

Published: 2014-05-26

Total Pages: 371

ISBN-13: 1139952633

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.


Current Perspectives on the Anxiety Disorders

Current Perspectives on the Anxiety Disorders

Author: Steven Taylor, PhD, ABPP

Publisher: Springer Publishing Company

Published: 2009-06-22

Total Pages: 551

ISBN-13: 0826132480

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This book synthesizes the best of the new research related to anxiety disorders and how they are classified and diagnosed. Dr. Dean McKay and his co-editors have brought together leading authorities from multiple theoretical traditions to present the new directions and perspectives in the field of anxiety research. The contributors also discuss why current classification systems are inadequate, and what revisions should be made. The book presents in-depth discussions of how anxiety disorders are understood and assessed, as well as potential new implications for DSM-V. Key features: Covers the existing descriptive approach to the study of anxiety disorders, its adequacy in diagnosis, and its limitations Discusses the major theoretical and methodological approaches used to assess anxiety, such as fear circuitry, taxometric methods, actigraphy, neuroscience, and behavioral genetics Reviews diagnostic and classification controversies that center on specific anxiety disorders, such as obsessive-compulsive disorder, social anxiety, posttraumatic stress disorder, and worry This book covers the full spectrum of theoretical and empirical approaches used in the study, diagnosis, and classification of anxiety problems. In short, this volume serves as the authoritative reference book on the conceptualization and diagnosis of anxiety disorders.