By Ams-Ims-Siam Joint Summer Research Conference on Lusternik-Schnierlman, O. Cornea
This assortment is the complaints quantity for the AMS-IMS-SIAM Joint summer season study convention, Lusternik-Schnirelmann classification, held in 2001 at Mount Holyoke collage in Massachusetts. The convention attracted a global team of 37 contributors that incorporated many top specialists. The contributions integrated right here symbolize many of the field's so much capable practitioners. With a surge of contemporary task, fascinating advances were made during this box, together with the solution of numerous long-standing conjectures. Lusternik-Schnirelmann type is a numerical homotopy invariant that still offers a reduce sure for the variety of severe issues of a tender functionality on a manifold.The examine of this invariant, including similar notions, types a topic mendacity at the boundary among homotopy conception and demanding aspect conception. those articles hide a variety of subject matters: from a spotlight on concrete computations and functions to extra summary extensions of the elemental rules. the amount contains a survey article by means of Peter Hilton that discusses prior effects from homotopy thought that shape the root for more moderen paintings during this zone. during this quantity, specialist mathematicians in topology and dynamical platforms in addition to graduate scholars will trap glimpses of the newest perspectives of the topic
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