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Titlebook: Sheaves in Geometry and Logic; A First Introduction Saunders Mac Lane,Ieke Moerdijk Textbook 1994 Springer-Verlag New York, Inc. 1994 Algeb

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书目名称Sheaves in Geometry and Logic
副标题A First Introduction
编辑Saunders Mac Lane,Ieke Moerdijk
视频video
丛书名称Universitext
图书封面Titlebook: Sheaves in Geometry and Logic; A First Introduction Saunders Mac Lane,Ieke Moerdijk Textbook 1994 Springer-Verlag New York, Inc. 1994 Algeb
描述We dedicate this book to the memory of J. Frank Adams. His clear insights have inspired many mathematicians, including both of us. In January 1989, when the first draft of our book had been completed, we heard the sad news of his untimely death. This has cast a shadow on our subsequent work. Our views of topos theory, as presented here, have been shaped by continued study, by conferences, and by many personal contacts with friends and colleagues-including especially O. Bruno, P. Freyd, J.M.E. Hyland, P.T. Johnstone, A. Joyal, A. Kock, F.W. Lawvere, G.E. Reyes, R Solovay, R Swan, RW. Thomason, M. Tierney, and G.C. Wraith. Our presentation combines ideas and results from these people and from many others, but we have not endeavored to specify the various original sources. Moreover, a number of people have assisted in our work by pro­ viding helpful comments on portions of the manuscript. In this respect, we extend our hearty thanks in particular to P. Corazza, K. Edwards, J. Greenlees, G. Janelidze, G. Lewis, and S. Schanuel.
出版日期Textbook 1994
关键词Algebraic structure; Boolean algebra; Division; Heyting algebra; forcing; set; set theory
版次1
doihttps://doi.org/10.1007/978-1-4612-0927-0
isbn_softcover978-0-387-97710-2
isbn_ebook978-1-4612-0927-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York, Inc. 1994
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978-0-387-97710-2Springer-Verlag New York, Inc. 1994
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https://doi.org/10.1007/978-1-4612-0927-0Algebraic structure; Boolean algebra; Division; Heyting algebra; forcing; set; set theory
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Textbook 1994en the first draft of our book had been completed, we heard the sad news of his untimely death. This has cast a shadow on our subsequent work. Our views of topos theory, as presented here, have been shaped by continued study, by conferences, and by many personal contacts with friends and colleagues-
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Geometric Morphisms, factorization theorem, parallel to the familiar factorization of a function as a surjection followed by an injection. Moreover, we prove that the embeddings .→. of topoi correspond to Lawvere-Tierney topologies in the codomain ., while surjections . correspond to left exact comonads on the domain...
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