"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

"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

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.

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

This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

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.

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.

One of the most important theoretical and empirical issues in the scholarly study of emotion is whether there is a correct list of “basic” types of affect or whether all affective states are better modeled as a combination of locations on shared underlying dimensions. Many thinkers have written on this topic, yet the views of two scientists in particular are dominant. The first is Jaak Panksepp, the father of Affective Neuroscience. Panksepp conceptualizes affect as a set of distinct categories. The leading proponent of the dimensional approach in scientific psychology is James Russell. According to Russell all affect can be decomposed into two underlying dimensions, pleasure versus displeasure and low arousal versus high arousal. In this volume Panksepp and Russell each articulate their positions on eleven fundamental questions about the nature of affect followed by a discussion of these target papers by noted emotion theorists and researchers. Russell and Panksepp respond both to each other and to the commentators. The discussion leads to some stark contrasts, with formidable arguments on both sides, and some interesting convergences between the two streams of work.

In the wake of socialism’s demise and liberalism’s loss of direction, new ideas are needed for the next major realignment of the social and political domain. Making a unique contribution to the idea of ‘the commons’, this book offers a radical form of direct democracy with real-world implications. But whereas much of the current scholarship has looked at the commons from the perspective of governance, this book instead focuses on ‘commoning’ as social practice. Perspectives on Commoning argues that the commons are not just resources external to us, but are a function or characterisation of what we do. Thus, we can talk of the act of commoning, positioning our behaviour beyond the domains of the private and the public, beyond the dichotomy of capitalism versus socialism. Covering everything from biopolitics to urban spaces, this impressive range of international contributors address the commons as both theory and history, providing a useful review of current conceptions as well as practical proposals for the future. A unique consolidation of philosophy, sociology and economics, the book shows how a new understanding of the commons as practice will help to achieve its full emancipatory potential.