The Lefschetz fixed point theory for morphisms in topological vector spaces
Keywords
Lefschetz number, fixed points, periodic points, CAC-maps, admissible spaces in the sense of KleeAbstract
The Lefschetz Fixed Point Theorem for compact absorbing contraction morphisms (${\mathbb{CAC}}$-morphisms) of retracts of open subsets in admissible spaces in the sense of Klee is proved. Moreover, the relative version of the Lefschetz Fixed Point Theorem and the Lefschetz Periodic Theorem are considered. Additionally, a full classification of morphisms with compact attractors in the non-metric case is obtained.Downloads
Published
2002-12-01
How to Cite
1.
GÓRNIEWICZ, Lech and ROZPŁOCH-NOWAKOWSKA, Danuta. The Lefschetz fixed point theory for morphisms in topological vector spaces. Topological Methods in Nonlinear Analysis. Online. 1 December 2002. Vol. 20, no. 2, pp. 315 - 333. [Accessed 26 April 2024].
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