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Lusternik - Schnirelmann Category and Related Topics 2001 AMS-IMS-SIAM Joint Summer Reserch Conferenece on Lusternik-Schnirelmann Category in the New Millennium

O. Cornea, G. Lupton, J. Oprea, and D. Tanre (Ed)

ISBN 10: 0821828002 / ISBN 13: 9780821828007
Published by American Mathematical Society, 2002
Used Condition: Very Good+ Soft cover
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Contemporary Mathematics Volume 316. Very light bumping to front & rear cover corners; else binding clean. Pages clean. ; 203 pages. Bookseller Inventory # 23438

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Bibliographic Details

Title: Lusternik - Schnirelmann Category and ...

Publisher: American Mathematical Society

Publication Date: 2002

Binding: Softcover

Book Condition:Very Good+

Dust Jacket Condition: No Dust Jacket

About this title

Synopsis:

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.

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