Classifying Spaces And Classifying Topoi

Author : Izak Moerdijk
Publisher : Springer
ISBN 13 : 3540449124
Total Pages : 100 pages
Book Rating : 4.26/5 ( download)

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Download or read book Classifying Spaces and Classifying Topoi written by Izak Moerdijk and published by Springer. This book was released on 2006-11-14 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.

Author : Izak Moerdijk
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.77/5 ( download)

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Download or read book Classifying Spaces and Classifying Topoi written by Izak Moerdijk and published by . This book was released on 1995 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Andrej Ščedrov
Publisher : American Mathematical Soc.
ISBN 13 : 0821822942
Total Pages : 106 pages
Book Rating : 4.44/5 ( download)

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Download or read book Forcing and Classifying Topoi written by Andrej Ščedrov and published by American Mathematical Soc.. This book was released on 1984 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give a general method of forcing over categories as a category-theoretic universal construction which subsumes, on one hand, all known instances of forcing in set theory, Boolean and Heyting valued models and sheaf interpretations for both classical and intuitionistic formal systems; and, on the other hand, constructions of classifying topoi in topos theory.

Author : Saunders MacLane
Publisher : Springer Science & Business Media
ISBN 13 : 1461209277
Total Pages : 643 pages
Book Rating : 4.70/5 ( download)

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Download or read book Sheaves in Geometry and Logic written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

Author : P. T. Johnstone
Publisher : Oxford University Press
ISBN 13 : 9780198515982
Total Pages : 836 pages
Book Rating : 4.87/5 ( download)

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Download or read book Sketches of an Elephant: A Topos Theory Compendium written by P. T. Johnstone and published by Oxford University Press. This book was released on 2002-09-12 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

Author : D.M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 1402030924
Total Pages : 382 pages
Book Rating : 4.25/5 ( download)

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Download or read book Handbook of Philosophical Logic written by D.M. Gabbay and published by Springer Science & Business Media. This book was released on 2005-12-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of the Handbook of Philosophical Logic (four volumes) was published in the period 1983-1989 and has proven to be an invaluable reference work to both students and researchers in formal philosophy, language and logic. The second edition of the Handbook is intended to comprise some 18 volumes and will provide a very up-to-date authoritative, in-depth coverage of all major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, etc. The volumes will no longer be as topic-oriented as with the first edition because of the way the subject has evolved over the last 15 years or so. However the volumes will follow some natural groupings of chapters. Audience: Students and researchers whose work or interests involve philosophical logic and its applications

Author : Mathieu Anel
Publisher : Cambridge University Press
ISBN 13 : 1108490638
Total Pages : 601 pages
Book Rating : 4.34/5 ( download)

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Download or read book New Spaces in Mathematics written by Mathieu Anel and published by Cambridge University Press. This book was released on 2021-04 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.

Author : Robert Goldblatt
Publisher : Courier Corporation
ISBN 13 : 048631796X
Total Pages : 576 pages
Book Rating : 4.60/5 ( download)

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Download or read book Topoi written by Robert Goldblatt and published by Courier Corporation. This book was released on 2013-07-25 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic exposition of a branch of mathematical logic that uses category theory, this text is suitable for advanced undergraduates and graduate students and accessible to both philosophically and mathematically oriented readers.

Author :
Publisher : ScholarlyEditions
ISBN 13 : 148164548X
Total Pages : 777 pages
Book Rating : 4.85/5 ( download)

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Download or read book Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2012 Edition written by and published by ScholarlyEditions. This book was released on 2013-01-10 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2012 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Macromolecular Research. The editors have built Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2012 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Macromolecular Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Biological, Biochemical, and Evolutionary Sciences Research: 2012 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Author : Elaine M. Landry
Publisher : Oxford University Press
ISBN 13 : 019874899X
Total Pages : 486 pages
Book Rating : 4.91/5 ( download)

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Download or read book Categories for the Working Philosopher written by Elaine M. Landry and published by Oxford University Press. This book was released on 2017 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on category theory for a broad philosophical readership. There is no other discussion of category theory comparable in its scope. It is designed to show the interest and significant of category theory for philosophers working in a range of areas, including mathematics, proof theory, computer science, ontology, physics, biology, cognition, mathematical modelling, the structure of scientific theories, and the structure of the world. Moreover, it does this in a way that is accessible to non specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented fields, in a way that builds on the concepts already familiar to philosophers working in these areas. The book is split into two halves. The 'pure' chapters focus on the use of category theory for mathematical, foundational, and logical purposes, while the 'applied' chapters consider the use of category theory for representational purposes, investigating category theory as a framework for theories of physics and biology, for mathematical modelling more generally, and for the structure of scientific theories. Book jacket.