Decompositions of Manifolds

Name: Decompositions of Manifolds
Brand: Academic Press
Price: 54.95 EUR
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Unknown Author(Herausgeber*in)

Academic Press

Erschienen am 22. Dezember 1986

316 Seiten

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Front Cover
Decompositions of Manifolds
Copyright Page
Contents
Preface
Acknowledgments
Introduction
Chapter I. Preliminaries
1. Elementary Properties of Upper Semicontinuous Decompositions
2. Upper Semicontinuous Decompositions
3. Proper Maps
4. Monotone Decompositions
Chapter II. The Shrinkability Criterion
5. Shrinkable Decompositions
6. Cellular Sets
7. Countable Decompositions and Shrinkability
8. Countable Decompositions of En
9. Some Cellular Decompositions of E3
10. Products of Decompositions with a Line
11. Squeezing a 2-Cell to an Arc
12. The Double Suspension of a Certain Homology Sphere
13. Applications of the Local Contractability of Manifold Homeomorphism Groups
Chapter III. Cell-Like Decompositions of Absolute Neighborhood Retracts
14. Absolute Retracts and Absolute Neighborhood Retracts
15. Cell-Like Sets
16. UV Properties and Decompositions
17. Cell-Like Decompositions and Dimension
18. The Cellularity Criterion and Decompositions
Chapter IV. The Cell-Like Approximation Theorem
19. Characterizing Shrinkable Decompositions of Manifolds-the Simple Test
20. Amalgamating Decompositions
21. The Concept of Embedding Dimension
22. Shrinking Special 0-Dimensional Decompositions
23. Shrinking Special (n - 3)-Dimensional Decompositions
24. The Disjoint Disks Property and the Cell-Like Approximation Theorem
25. Cell-Like Decompositions of 2-Manifolds-the Moore Theorem
Chapter V. Shrinkable Decompositions
26. Products of E2 and E1 with Decompositions
27. Products of E1 with Decompositions of E3
28. Spun Decompositions
29. Products of Generalized Manifolds
30. A Mismatch Property in Locally Spherical Decomposition Spaces
31. Sliced Decomposition of En+1
Chapter VI. Nonshrinkable Decompositions
32. Nonshrinkable Cellular Decompositions Obtained by Mixing
33. Nonshrinkable Null Sequence Cellular Decompositions Obtained by Amalgamating
34. Nested Defining Sequences for Decompositions
35. Cell-Like but Totally Noncellular Decompositions
36. Measures of Complexity in Decomposition Spaces
37. Defining Sequences for Decompositions
Chapter VII. Applications to Manifolds
38. Gropes and Closed n-Cell-Complements
39. Replacement Procedures for Improving Generalized Manifolds
40. Resolutions and Applications
41. Mapping Cylinder Neighborhoods
Appendix
References
Index

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