VIII. Applications of the Sum Theorem 54
§28. Q-Manifold Factors . 54
§29. Simple Homotopy Theory 54
§30. Infinite Simple Homotopy Theory . 57
Notes 59
IX. The Splitting Theorem 60
§31. Constructing Splittings 61
§32. Splitting the Fundamental Group 64
§33. The Main Result 67
Notes 69
X. The Handle Straightening Theorem 70
§34. Immersions 70
§35. The Main Result 71
Notes 80
XI. The Triangulation Theorem 81
§36. The Compact Case 81
§37. The General Case. 82
Notes 85
XII. The Classification Theorem 86
§38. The Compact Case 86
§39. The General Case 87
Notes 90
XIII. Cell-Like Mappings 91
§40. Fine Homotopy Equivalences 91
§41. Multiplying ANRs by [0,1) 92
Notes 98
XIV. The ANR Theorem 99
§42. Two Near Homeomorphism Results 99
§43. The Main Step. 103
§44. The Main Result 106
Notes 107
References
Appendix. Open Problems in Infinite-Dimensional Topology . . . . . . . I l l
VIII
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