UID:
almahu_9947366335202882
Format:
1 online resource (331 p.)
ISBN:
1-281-76331-4
,
9786611763312
,
0-08-087443-6
Series Statement:
Pure and applied mathematics series
Content:
Decompositions of manifolds
Note:
Description based upon print version of record.
,
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
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12. The Double Suspension of a Certain Homology Sphere13. 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
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21. The Concept of Embedding Dimension22. 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
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Chapter VI. Nonshrinkable Decompositions32. 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
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AppendixReferences; Index
,
English
Additional Edition:
ISBN 0-12-204220-4
Language:
English
