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Synthetic differential topology

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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  Read more...

Author(s): Bunge, Marta; Gago Couso, Felipe; San Luis Fernández, Ana María
Series: London Mathematical Society lecture note series 448
Edition: draft
Publisher: Cambridge University Press
Year: 2017

Language: English
Pages: 223
Tags: Differential topology.;Geometry, Differential.;Mappings (Mathematics);MATHEMATICS -- Topology.

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.