Homotopy classification of maps into homogeneous spaces

Autor:	Koshkin, Sergiy
Rok vydání:	2008
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology 57R22 55Q25 46M20 57R22 46M20 81T10 58D50 55Q25
Zdroj:	Journal of Homotopy and Related Structures: Volume 4, Number 1 (2009), pp.331-346
Druh dokumentu:	Working Paper
Popis:	We give an alternative to Postnikov's homotopy classification of maps from 3-dimensional CW-complexes to homogeneous spaces G/H of Lie groups. It describes homotopy classes in terms of lifts to the group G and is suitable for extending the notion of homotopy to Sobolev maps. This is required for applications to variational problems of mathematical physics. Comment: Appendix deleted, exposition improved, contact information updated; 13 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0808.0024 Zobrazit plný text záznamu View this record from Arxiv