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Lusternik-Schnirelmann Category

About this Title

Octav Cornea, Université de Montreal, Montreal, QC, Canada, Gregory Lupton, Cleveland State University, Cleveland, OH, John Oprea, Cleveland State University, Cleveland, OH and Daniel Tanré, Université de Lille, Lille, France

Publication: Mathematical Surveys and Monographs
Publication Year: 2003; Volume 103
ISBNs: 978-0-8218-3404-6 (print); 978-1-4704-1330-9 (online)
DOI: https://doi.org/10.1090/surv/103
MathSciNet review: MR1990857
MSC: Primary 55M30; Secondary 53D35, 55P62, 55Q25, 57R17

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Table of Contents

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Front/Back Matter

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Chapters

• 1. Introduction to LS-category
• 2. Lower bounds for LS-category
• 3. Upper bounds for category
• 4. Localization and category
• 5. Rational homotopy and category
• 6. Hopf invariants
• 7. Category and critical points
• 8. Category and symplectic topology
• 9. Examples, computations and extensions
• Appendix A. Topology and analysis
• Appendix B. Basic homotopy