On some topological invariants for morphisms defined in homological spheres

Nasreddine Mohamed Benkafadar; Boris Danielovich Gel'man

doi:10.4995/agt.2015.2057

Authors

Nasreddine Mohamed Benkafadar University of Constantine
Boris Danielovich Gel'man Voronezh State University

DOI:

https://doi.org/10.4995/agt.2015.2057

Keywords:

Homology, homotopy, topological degree, fixed points

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.

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Author Biographies

Nasreddine Mohamed Benkafadar, University of Constantine

Department of Mathematics, Faculty of Sciences, Professor

Boris Danielovich Gel'man, Voronezh State University

Department of Functional Theory and Geometry, Faculty of Mathematics

Professor

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