On some topological invariants for morphisms defined in homological spheres
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 a...
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Universitat Politècnica de València
2015-01-01
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| Series: | Applied General Topology |
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| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/2057 |
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doaj-2580f02eb8dc4355a32f9d9fdd5fa1062020-11-25T00:00:29ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472015-01-01161193010.4995/agt.2015.20572821On some topological invariants for morphisms defined in homological spheresNasreddine Mohamed Benkafadar0Boris Danielovich Gel'man1University ConstantineVoronezh State UniversityIn 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.http://polipapers.upv.es/index.php/AGT/article/view/2057Homologyhomotopytopological degreefixed points. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nasreddine Mohamed Benkafadar Boris Danielovich Gel'man |
| spellingShingle |
Nasreddine Mohamed Benkafadar Boris Danielovich Gel'man On some topological invariants for morphisms defined in homological spheres Applied General Topology Homology homotopy topological degree fixed points. |
| author_facet |
Nasreddine Mohamed Benkafadar Boris Danielovich Gel'man |
| author_sort |
Nasreddine Mohamed Benkafadar |
| title |
On some topological invariants for morphisms defined in homological spheres |
| title_short |
On some topological invariants for morphisms defined in homological spheres |
| title_full |
On some topological invariants for morphisms defined in homological spheres |
| title_fullStr |
On some topological invariants for morphisms defined in homological spheres |
| title_full_unstemmed |
On some topological invariants for morphisms defined in homological spheres |
| title_sort |
on some topological invariants for morphisms defined in homological spheres |
| publisher |
Universitat Politècnica de València |
| series |
Applied General Topology |
| issn |
1576-9402 1989-4147 |
| publishDate |
2015-01-01 |
| description |
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. |
| topic |
Homology homotopy topological degree fixed points. |
| url |
http://polipapers.upv.es/index.php/AGT/article/view/2057 |
| work_keys_str_mv |
AT nasreddinemohamedbenkafadar onsometopologicalinvariantsformorphismsdefinedinhomologicalspheres AT borisdanielovichgelman onsometopologicalinvariantsformorphismsdefinedinhomologicalspheres |
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1725444802504294400 |