The cohomology algebras of orientable Seifert manifolds and applications to Lusternik-Schnirelmann category

• Autorzy: J. Bryden , P. Zvengrowski
• Języki publikacji: EN

Abstrakty

EN

This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds.

Słowa kluczowe

EN

cup products; cup product length; Lusternik-Schnirelmann category; degree one maps; diagonal map; Seifert manifolds; cohomology algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 45
• Numer: 1
• Strony: 25-39

Daty

wydano

1998

Twórcy

autor

J. Bryden

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada

autor

P. Zvengrowski

• Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada

Bibliografia

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