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Lusternik-Schnirelmann Category and Related Topics.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2002Copyright date: ©2001Edition: 1st edDescription: 1 online resource (218 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879061
Subject(s): Genre/Form: Additional physical formats: Print version:: Lusternik-Schnirelmann Category and Related TopicsDDC classification:
  • 514/.24
LOC classification:
  • QA612 -- .A74 2001eb
Online resources:
Contents:
Intro -- 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.
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Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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