Journal of Advances in Mathematics and Computer Science

The Fixed Points of Abstract Morphisms

Mirosław Ślosarski *

Koszalin University of Technology, Śniadeckich 2, PL-75-453 Koszalin, Poland.

*Author to whom correspondence should be addressed.

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Abstract

In this article, with the help of three axioms (Definition 3.1), the notion of abstract morphisms is introduced (see [1,2]). It will be proven that Hausdorff topological spaces together with abstract morphisms create a category on which the functor of ÄŒech homology is extended.

Keywords: Abstract morphism, equivalency relation, strongly admissible map, ÄŒech homology functor, fixed point, Vietoris map.

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