On some topological invariants for morphisms defined in homological spheres

Nasreddine Mohamed Benkafadar, Boris Danielovich Gel'man

Abstract

In the paper one defines topological invariants of type degree for morphisms in the category Top(2) of topological pairs of spaces and continuous single valued maps, which admit homological n-spheres as target and arbitrary topological pairs of spaces as source. The different described degrees are acquired by means homological methods, and are a powerful tool in the root theory. Several existence theorems are obtained for equations with multivalued transformations.

Keywords

Homology; homotopy; topological degree; fixed points.

Subject classification

55N10; 54H25; 54C60.

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References

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Universitat Politècnica de València

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