Introduction .................................................... 1
Chapter 1. Tame spaces ......................................... 5
Chapter 2. Basic properties and examples of tame flows ........ 11
Chapter 3. Some global properties of tame flows ............... 25
Chapter 4. Tame Morse flows ................................... 29
Chapter 5. Tame Morse-Smale flows ............................. 41
Chapter 6. The gap between two vector subspaces ............... 45
Chapter 7. The Whitney and Verdier regularity conditions ...... 51
Chapter 8. Smale transversality and Whitney regularity ........ 55
Chapter 9. The Conley index ................................... 67
Chapter 10. Flips/flops and gradient like tame flows ........... 79
Chapter 11. Simplicial flows and combinatorial Morse theory .... 85
Chapter 12. Tame currents ...................................... 97
Appendix A. An "elementary" proof of the generalized Stokes
formula ........................................... 117
Appendix B. On the topology of tame sets ...................... 125
Bibliography .................................................. 127
Index ......................................................... 129
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