Contents

pp v-vi

Contents for New Spaces in Physics

pp vii-viii

Introduction

pp 1-28

Part I - Differential Geometry

pp 29-30

1 - An Introduction to Diffeology

pp 31-82

2 - New Methods forOld Spaces: Synthetic Differential Geometry

pp 83-116

3 - Microlocal Analysis and Beyond

pp 117-152

Part II - Topology and Algebraic Topology

pp 153-154

4 - Topo-logie

pp 155-257

5 - Spaces as Infinity-Groupoids

pp 258-321

6 - Homotopy Type Theory: The Logic of Space

pp 322-404

Part III - Algebraic Geometry

pp 405-406

7 - Sheaves and Functors of Points

pp 407-461

8 - Stacks

pp 462-504

9 - The Geometry of Ambiguity: An Introduction to the Ideas of Derived Geometry

pp 505-553

10 - Geometry in dg-Categories

pp 554-592