New Spaces in Mathematics

Herausgeber: Anel, Mathieu; Catren, Gabriel

• Gebundenes Buch

Produktbeschreibung

This book explores various new notions of space in mathematics, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop. It is suitable for mathematicians and mathematical physicists, as well as historians and philosophers of these disciplines.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 602
• Erscheinungstermin: 1. April 2021
• Englisch
• Abmessung: 235mm x 157mm x 40mm
• Gewicht: 966g
• ISBN-13: 9781108490634
• ISBN-10: 1108490638
• Artikelnr.: 59484180

Inhaltsangabe

Introduction Mathieu Anel and Gabriel Catren
Part I. Differential geometry: 1. An Introduction to diffeology Patrick Iglesias-Zemmour
2. New methods for old spaces: synthetic differential geometry Anders Kock
3. Microlocal analysis and beyond Pierre Schapira
Part II. Topology and algebraic topology: 4. Topo-logie Mathieu Anel and André Joyal
5. Spaces as infinity-groupoids Timothy Porter
6. Homotopy type theory: the logic of space Michael Shulman
Part III. Algebraic geometry: 7. Sheaves and functors of points Michel Vaquié
8. Stacks Nicole Mestrano and Carlos Simpson
9. The geometry of ambiguity: an introduction to the ideas of derived geometry Mathieu Anel
10. Geometry in dg categories Maxim Kontsevich.