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

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Bryden J., Zvengrowski P.

Banach Center Publications

1998

tom 45

nr 1

25-39

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.

Ograniczanie wyników

1 Banach Center Publications

1 Bryden J.

1 Zvengrowski P.

1 1998

Wyniki wyszukiwania

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