New spaces in physics: formal and conceptual reflections

After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leadin...

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Weitere Verfasser: Anel, Mathieu 1978- (HerausgeberIn), Catren, Gabriel 1973- (HerausgeberIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2021
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Zusammenfassung:After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines
Beschreibung:Title from publisher's bibliographic system (viewed on 26 Mar 2021)
Beschreibung:1 Online-Ressource (viii, 428 Seiten)
ISBN:9781108854399
DOI:10.1017/9781108854399