Cubical Homotopy Theory

Preface
Part I. Cubical Diagrams:
1. Preliminaries
2. 1-cubes: homotopy fibers and cofibers
3. 2-cubes: homotopy pullbacks and pushouts
4. 2-cubes: the Blakers-Massey Theorems
5. n-cubes: generalized homotopy pullbacks and pushouts
6. The Blakers–Massey Theorems for n-cubes
Part II. Generalizations, Related Topics, and Applications:
7. Some category theory
8. Homotopy limits and colimits of diagrams of spaces
9. Cosimplicial spaces
10. Applications
Appendix
References
Index.