Synthetic Differential Topology

Introduction
Part I. Toposes and Differential Geometry:
1. Topos theory
2. Synthetic differential geometry
Part II. Topics in SDG:
3. The Ambrose–Palais–Singer theorem in SDG
4. Calculus of variations in SDG
Part III. Toposes and Differential Topology:
5. Local concepts in SDG
6. Synthetic differential topology
Part IV. Topics in SDT:
7. Stable mappings and Mather's theorem in SDT
8. Morse theory in SDT
Part V. SDT and Differential Topology:
9. Well-adapted models of SDT
10. An application to unfoldings
Part VI. A Well-Adapted Model of SDT:
11. The Dubuc topos G
12. G as a model of SDT
References
Index.