Stratifications and Mappings††AMS (MOS) 1970 SUBJECT CLASSIFICATION: 58C25.‡‡This Chapter is based on lectures I gave at the Dynamical Systems conference. I wrote up these lectures partly during a stay at IMPA. I have developed these ideas over a period of years at Princeton, IHES, Harvard, and while supported by a Sloan fellowship and NSF grant GP-9566.I would like to thank all these institutions for their aid.

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