Synthetic Differential Topology
Synthetic Differential Topology
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Summary
This clear and comprehensive book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry. It 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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Synthetic Differential Topology by Ana Luis
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.
San Luis, Ana Mar�a: - Ana Mar�a San Luis is Professor of Mathematics at the University of Oviedo, Spain.
| SKU | Unavailable |
| ISBN 13 | 9781108447232 |
| ISBN 10 | 1108447236 |
| Title | Synthetic Differential Topology |
| Author | Felipe Gago |
| Series | London Mathematical Society Lecture Note Series |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2018-03-29 |
| Number of pages | 232 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |