### The Lefschetz fixed point theory for morphisms in topological vector spaces

DOI: http://dx.doi.org/10.12775/TMNA.2002.039

#### Abstract

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.

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.

#### Keywords

Lefschetz number; fixed points; periodic points; CAC-maps; admissible spaces in the sense of Klee

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