1 Table of Contents: “...Prelude -- Basic homotopical algebra -- The homotopy theory of 8-categories -- Presheaves...”

2 Table of Contents: “... extensions -- 5. Function complexes -- 6. Simplicial homotopy -- 7. Simplicial homotopy groups -- 8...”

3 Subjects: “...Homotopy theory...”

4 Table of Contents: “... -- IV. The Homotopic Category -- 1. Homotopies -- 2. Anodyne Extensions -- 3. Kan Complexes -- 4...”

5 Table of Contents: “... spaces -- R-local homotopy theory -- Homotopy theory and closed geodesics -- A proof of the theorem...”

6 Subjects: “...Homotopy theory...”

7 Table of Contents: “...I The homotopy index theory -- 1.1 Local semiflows -- 1.2 The no blow-up condition. Convergence...”

8 Table of Contents: “...I. Introduction -- §1. Homotopy equivalence -- §2. Whitehead’s combinatorial approach to homotopy...”

9 Table of Contents: “... and the Arf-Kervaire Invariant -- Futuristic and Contemporary Stable Homotopy...”

10 Table of Contents: “...Introduction -- Homotopy -- Homology -- Spectral Sequences of Fibrations -- Cohomology Operations...”

11 Table of Contents: “...Function Spaces -- Connectedness and Algebraic Invariants -- Homotopy groups -- Homotopy Extension...”

12 Table of Contents: “... for equivariant function complexes -- On the homotopy type of the components of map*(BS3,BS3) -- The homotopic...”

13 Table of Contents: “...Algebraic Topology for Group Theory -- CW Complexes and Homotopy -- Cellular Homology...”

14 Table of Contents: “... -- Multiplicative structure of finite ring spectra and stable homotopy of spheres -- Homotopy invariance of A? and E...”

15 Table of Contents: “... -- Homotopical background -- Symmetric monoidal model categories for operads -- The homotopy of algebras over...”

16 Table of Contents: “... compacta: the geometric meaning of a conjecture of H. Bass -- Splitting homotopy idempotents -- Approximate...”

17 Table of Contents: “...First-order directed homotopy and homology -- Directed structures and first-order homotopy...”

18 Table of Contents: “... Introduction -- 4.2 Homotopic Paths and the Fundamental Group -- 4.3 The Covering Homotopy Property for S1...”

19 Table of Contents: “... -- Some non-continuous functions and pseudo-flattenings -- Homotopic homeomorphisms of Hilbert cube...”

20 Table of Contents: “... homotopy -- On the homotopical structure and applications of Morava’s extraordinary K-theories --...”