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Abstract
We investigate relations between stable equivariant homotopy groups of spheres in classical and gradient categories. To this end, the auxiliary category of orthogonal equivariant maps, a natural enlargement of the category of gradient maps, is used. Our result allows for describing stable equivariant homotopy groups of spheres in the category of orthogonal maps in terms of classical stable equivariant groups of spheres with shifted stems. We conjecture that stable equivariant homotopy groups of spheres for orthogonal maps and for gradient maps are isomorphic.
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11784-013-0105-8
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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Journal of Fixed Point Theory and Applications
no. 12,
edition 1-2,
pages 49 - 58,
ISSN: 1661-7738 - Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Gęba K., Izydorek M.: On relations between gradient and classical equivariant homotopy groups of spheres// Journal of Fixed Point Theory and Applications. -Vol. 12, iss. 1-2 (2012), s.49-58
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s11784-013-0105-8
- Verified by:
- Gdańsk University of Technology
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