Diffeology

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Diffeology is an extension of differential geometry. With a minimal set of axioms, diffeology allows us to deal simply but rigorously with objects which do not fall within the usual field of differential geometry: quotients of manifolds (even non-Hausdorff), spaces of functions, groups of diffeomorphisms, etc. The category of diffeology objects is stable under standard set-theoretic operations, such as quotients, products, coproducts, subsets, limits, and colimits. With its right balance betwee…

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Title Statements

Full title :Diffeology / Patrick Iglesias-Zemmour.

Summary

Edition Statements

Publication Date:2013

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:2013

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780821894521, 0821894528
oclc:ocn898199894
LC Classification:QA670
Dewey Decimal:516.3/62

Subjects

Algebraic topology Algebraic topology -- Fiber spaces and … Algebraic topology -- Fiber spaces and … Algebraic topology -- Homotopy theory -… Algebraic topology -- Homotopy theory -… Differentiable manifolds Differential geometry -- Global differe… Differential geometry -- Symplectic geo… Géométrie différentielle globale GÉOMÉTRIE SYMPLECTIQUE Global analysis, analysis on manifolds … Global analysis, analysis on manifolds … Global analysis, analysis on manifolds … Global differential geometry Symplectic geometry Topologie algébrique Variétés différentiables