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
Previous Page Next Page