Classifying Spaces And Classifying Topoi
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Classifying Spaces And Classifying Topoi
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Author : Izak Moerdijk
language : en
Publisher: Springer
Release Date : 2006-11-14
Classifying Spaces And Classifying Topoi written by Izak Moerdijk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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.
Classifying Spaces And Classifying Topoi
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Author : Izak Moerdijk
language : en
Publisher:
Release Date : 1995
Classifying Spaces And Classifying Topoi written by Izak Moerdijk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Forcing And Classifying Topoi
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Author : Andrej Ščedrov
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Forcing And Classifying Topoi written by Andrej Ščedrov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Categories categories.
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.
Sheaves In Geometry And Logic
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Author : Saunders MacLane
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Sheaves In Geometry And Logic written by Saunders MacLane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Sketches Of An Elephant A Topos Theory Compendium
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Author : P. T. Johnstone
language : en
Publisher: Oxford University Press
Release Date : 2002-09-12
Sketches Of An Elephant A Topos Theory Compendium written by P. T. Johnstone and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-12 with Computers categories.
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.
Handbook Of Philosophical Logic
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Author : D.M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-15
Handbook Of Philosophical Logic written by D.M. Gabbay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-15 with Philosophy categories.
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
New Spaces In Mathematics
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Author : Mathieu Anel
language : en
Publisher: Cambridge University Press
Release Date : 2021-04
New Spaces In Mathematics written by Mathieu Anel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04 with Mathematics categories.
In this graduate-level book, leading researchers explore various new notions of 'space' in mathematics.
Topoi
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Author : Robert Goldblatt
language : en
Publisher: Courier Corporation
Release Date : 2013-07-25
Topoi written by Robert Goldblatt and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-25 with Mathematics categories.
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.
Issues In Biological Biochemical And Evolutionary Sciences Research 2012 Edition
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Author :
language : en
Publisher: ScholarlyEditions
Release Date : 2013-01-10
Issues In Biological Biochemical And Evolutionary Sciences Research 2012 Edition written by and has been published by ScholarlyEditions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-10 with Science categories.
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/.
Classifying Spaces Of Moduli Spaces Of Morse Smale Flows
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Author : Pawel Felcyn
language : en
Publisher:
Release Date : 2000
Classifying Spaces Of Moduli Spaces Of Morse Smale Flows written by Pawel Felcyn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.