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Semi-annual Workshop on Dynamical Systems and Related Topics
March 18-21, 2000
University of Maryland
College Park, MD, USA

Organizers
Brian R. Hunt, Michael Jakobson

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An elementary proof of existence of Whitney's stratification
by
Vadim Kaloshin
Princeton University

Stratification of a singular set (e.g. algebraic variety) is a partition of it into smooth parts so that these parts fit together "regularly". Existence of stratification for algebraic and analytic sets is a classical theorem of Whitney. During the talk we present a complete elementary proof of existence of Whitney's stratification, based on interpretation of a set where regularity of stratification fails as a critical set of a certain map. Then by Sard's lemma we can complete the proof.

Date received: March 4, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caep-08.