On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Foreword vii
4. Program of the Conference ix
5. Mathematical descendants of William Browder xi
6. The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen—Macaulay 1
7. Algebraic Geometric Invariants for Homotopy Actions 13
8. Algebraic K-Theory of Local Number Fields: The Unramified Case 28
9. The Mapping Cone and Cylinder of a Stratified Map 58
10. Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds 67
11. Finite K (π, 1)s for Artin Groups 110
12. Double Point Manifolds of Immersions of Spheres in Euclidean Space 125
13. Controlled Linear Algebra 138
14. Non-Linear Similarity Revisited 157
15. On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces 175
16. Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert’s Fifth Problem 189
17. Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks 221
18. Stable Prime Decompositions of Four-Manifolds 251
19. Smooth Correspondences 270
20. Simply Connected 6—Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space 283
21. Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse 303
22. Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View 314
23. Exterior d, the Local Degree, and Smoothability 328
24. Contributors 339