Synthetic Differential Topology by Ana Luis

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	Non disponible
ISBN 13	9781108447232
ISBN 10	1108447236
Titre	Synthetic Differential Topology
Auteur	Felipe Gago
Série	London Mathematical Society Lecture Note Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	2018-03-29
Nombre de pages	232
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible