Lusternik-Schnirelmann category of a sphere-bundle over a sphere

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We determine the Lusternik-Schnirelmann (L-S) category of a total space of a sphere-bundle over a sphere in terms of primary homotopy invariants of its characteristic map, and thus providing a complete answer to Ganea's Problem 4. As a result, we obtain a necessary and sufficient condition for a total space N to have the same L-S category as its 'once punctured submanifold' N\{P}, P∈N. Also, necessary and sufficient conditions for a total space M to satisfy Ganea's conjecture are described.

Original languageEnglish
Pages (from-to)701-713
Number of pages13
JournalTopology
Volume42
Issue number3
DOIs
Publication statusPublished - May 2003

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Fingerprint Dive into the research topics of 'Lusternik-Schnirelmann category of a sphere-bundle over a sphere'. Together they form a unique fingerprint.

Cite this