Contents

2 Sullivan models

3 The spatial realization of a Sullivan algebra

4 Homotopy groups

5 The homotopy Lie algebra and the fundamental group

6 Whitehead products and nilpotence

7 Hurewicz homomorphisms

8 Rationalizations, Malcev completions and Sullivan spaces

9 LS category

10 The trichotomy: growth of homotopy groups

11 Minimal ∧-models

12 Minimal ∧-models of a fibration

13 Holonomy representations

14 Fiber squares

15 Mapping spaces

16 Acyclic closures and loop spaces

17 Depth

18 Configuration spaces

19 The complement of arrangements

20 The group of homotopy self-equivalences of a space