1 “...This exposition of the theory of finite Hopf spaces details the development of the subject over...”

2 Table of Contents: “... -- 4 Z_2-equivariant homotopy and bordism theory -- 5 The geometric Hopf invariant -- 6 The double...”

3

4 Table of Contents: “... through R-Matrix Representations of Bn -- Operator Invariants -- Ribbon Hopf Algebras -- Reshetikin-Turaev...”

5 Table of Contents: “...§6 The Lefschetz-Hopf Fixed Point Theorem -- §7 The Exterior Cohomology Product -- § 8 The Interior...”

6 Table of Contents: “... -- Two problems studied by Heinz Hopf...”

7 Table of Contents: “...Fixed Point Problems -- Lefschetz-Hopf Fixed Point Theory -- Periodic Points by the Lefschetz...”

8 Table of Contents: “.... Operations in Homotopy Groups -- XI Homotopy Operations -- 1. Homotopy Operations -- 2. The Hopf Invariant...”

9 Table of Contents: “...§ 4 Intersection Numbers in ?n -- § 5 The Fixed Point Index -- § 6 The Lefschetz-Hopf Fixed Point...”

10 “... theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants...”

11 Table of Contents: “...-space of a monoid -- Categorical constructions in algebraic topology -- On a type of differential Hopf...”

12 Table of Contents: “... of spaces -- The kervaire invariant and the Hopf invariant -- Stable splittings of mapping spaces...”

13 Table of Contents: “... Representation Rings of Classical Groups -- 14 The Hopf Invariant -- 15 Vector Fields on the Sphere and Stable...”

14 Table of Contents: “.... The Lefschetz-Hopf Theory -- VI. Selected Topics -- Appendix: Preliminaries -- A. Generalities -- B. Topological...”

15 Table of Contents: “...Co-Toeplitz Quantization: A Simple Case -- On the quantum flag manifold SUq(3)/T2 -- A Hopf algebra...”

16 Table of Contents: “... -- 12. Non-commutative Differential Geometry -- Appendices -- A. Hopf Algebras -- B. Simplicial -- C...”

17 Table of Contents: “... -- 12. Non-commutative Differential Geometry -- 13. Mac Lane (co)homology -- Appendices -- A. Hopf...”

18 Table of Contents: “... The Adams Operations and Representations -- 14 Representation Rings of Classical Groups -- 15 The Hopf...”

19 “... the remarkable paper of Heinz Hopf [111]. In retrospect, ?nding 3 an example was rather easy because there is a...”

20 “.... Classical applications include Brouwer's fixed point theorem, Poincaré duality, Borsuk-Ulam theorem, Hopf...”