Lusternik-schnirelmann Category and Related Topics

2001 AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnierlmann Category in the New Millennium, July 29-August 2, 2001, Mount Holyoke College, South Hadley, Massachusetts

Daniel Tanre author Octav Cornea author Gregory Lupton author John Oprea author

Format:Paperback

Publisher:American Mathematical Society

Published:30th Dec '02

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Lusternik-schnirelmann Category and Related Topics cover

This collection is the proceedings volume for the AMS-IMS-SIAM Joint Summer Research Conference, Lusternik-Schnirelmann Category, held in 2001 at Mount Holyoke College in Massachusetts. The conference attracted an international group of 37 participants that included many leading experts. The contributions included here represent some of the field's most able practitioners. With a surge of recent activity, exciting advances have been made in this field, including the resolution of several long-standing conjectures. Lusternik-Schnirelmann category is a numerical homotopy invariant that also provides a lower bound for the number of critical points of a smooth function on a manifold.The study of this invariant, together with related notions, forms a subject lying on the boundary between homotopy theory and critical point theory. These articles cover a wide range of topics: from a focus on concrete computations and applications to more abstract extensions of the fundamental ideas. The volume includes a survey article by Peter Hilton that discusses earlier results from homotopy theory that form the basis for more recent work in this area. In this volume, professional mathematicians in topology and dynamical systems as well as graduate students will catch glimpses of the most recent views of the subject.

ISBN: 9780821828007

Dimensions: unknown

Weight: 397g

203 pages