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Minimal periods of maps of rational exterior spaces

100%

Graff G.

Fundamenta Mathematicae

2000

tom 163

nr 2

99-115

The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.

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

86%

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 Fundamenta Mathematicae

1 Bryden J.

1 Graff G.

1 Zvengrowski P.

1 2000

1 1998

Wyniki wyszukiwania

Minimal periods of maps of rational exterior spaces

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