ENGLISH

Synthetic differential topology

By bunge , Ana Maria , Marta; Gago Couso , Felipe; San Luis Fernández

Book information

Publisher
Cambridge University Press
Year
2017
ISBN
9781108563352, 110856335X
Language
english
Format
PDF
Filesize
998 kB (1022031 bytes)
Series
London Mathematical Society lecture note series 448
Edition
draft
Pages
223\218
Library
kolxo3
Time added
2019-04-25 18:00:00
Differential topology.;GeometryDifferential.;Mappings (Mathematics);MATHEMATICS -

Description

Represents the state of the art in the new field of synthetic differential topology. Abstract: 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.  Read more... Content: Topos theory -- Synthetic differential geometry -- The Ambrose-Palais-Singer theorem in SDG -- Calculus of variations in SDG -- Local concepts in SDG -- Synthetic differential topology -- Stable mappings and Mather's theorem in SDT -- Morse theory in SDT -- Well adapted models of SDT -- An application to unfoldings -- The Dubuc Topos G -- G as a model of SDT.

Similar books