On some topological invariants for morphisms defined in homological spheres

• Benkafadar, Nasreddine Mohamed ^[2] ; Gel'man, Boris Danielovich ^[1]
  1. [1] Voronezh State University

     Voronezh State University

     Rusia

     
  2. [2] University Constantine
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 16, Nº. 1, 2015, págs. 19-30
• Idioma: inglés
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• Resumen

  • 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.