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

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

抄録

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.

元の言語英語
ページ(範囲)701-713
ページ数13
ジャーナルTopology
42
発行部数3
DOI
出版物ステータス出版済み - 5 1 2003

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Lusternik-Schnirelmann Category
Bundle
Necessary Conditions
Sufficient Conditions
Submanifolds
Homotopy
Invariant

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

これを引用

Lusternik-Schnirelmann category of a sphere-bundle over a sphere. / Iwase, Norio.

:: Topology, 巻 42, 番号 3, 01.05.2003, p. 701-713.

研究成果: ジャーナルへの寄稿記事

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