Synthetic differential topology /
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| Author / Creator: | Bunge, M. (Marta), author. |
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| Imprint: | Cambridge : Cambridge University Press, 2018. ©2018 |
| Description: | 1 online resource (223 pages) |
| Language: | English |
| Series: | London Mathematical Society Lecture Note Series ; 448 London Mathematical Society lecture note series ; 448. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13913242 |
| Summary: | This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and several applications of it to classical mathematics, including the calculus of variations, Mather's theorem, and Morse theory on the classification of singularities. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology. |
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| Physical Description: | 1 online resource (223 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9781108563352 110856335X 9781108447232 1108447236 9781108553490 1108553494 |