Lusternik-Schnirelmann category and related topics : 2001 AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium, July 29-August 2, 2001, Mount Holyoke College, South Hadley, Massachusetts / O. Cornea [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium, Corporate Author.

Contributor:

Cornea, O. (Octavian), 1966- editor.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference on Lusternik-Schnirelmann Category in the New Millennium (2001 : Mount Holyoke College), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 316.

Contemporary mathematics, 0271-4132 ; 316

Language:

English

Subjects (All):

Lusternik-Schnirelmann category--Congresses.

Lusternik-Schnirelmann category.

Algebraic topology--Congresses.

Algebraic topology.

Physical Description:

1 online resource (218 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2002]

Language Note:

English

Summary:

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 P. 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.

Contents:

""Contents""; ""Preface""; ""Invited Survey Article""; ""Lusternik-Schnirelmann Category in Homotopy Theory""; ""Contributed Articles""; ""The A-category and A-cone length of a map""; ""Equivariant LS-category for finite group actions""; ""Tangential LS category and cohomology for foliations""; ""1. Introduction""; ""2. Tangential category""; ""3. Spectral sequence of F""; ""4. Fundamental classes""; ""5. Secondary classes""; ""6. Applications and Examples""; ""7. Open Questions and Problems""; ""References""; ""Spaces in the Mislin genus of a finite, simply connected co-Ho-space""

""Approximations to the F-killing length of a space""""Pseudo-comultiplications, their Hopf-type invariant and Lusternik-Schnirelmann category of conic spaces""; ""Lusternik-Schnirelman theory and dynamics""; ""The Lusternik-Schnirelmann theorem for the ball category""; ""The Lusternik-Schnirelmann category of spaces in the Mislin genus of Sp(3)""; ""A p-complete version of the Ganea conjecture for co-H-spaces""; ""The rational Toomer invariant and certain elliptic spaces""; ""On the Hopf invariant of the Hopf construction""

""Bochner-type theorems for the Gottlieb group and injective toral actions""""Detecting elements and Lusternik-Schnirelmann category of 3-manifolds""; ""Generalizations of category weight""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7906-5

0-8218-5652-9