New Spaces in Mathematics
Herausgeber: Anel, Mathieu; Catren, Gabriel
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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.