Mathematics – Geometric Topology
Scientific paper
2008-07-31
Journal of Homotopy and Related Structures, v.4 (2009) no. 1
Mathematics
Geometric Topology
Appendix deleted, exposition improved, contact information updated; 13 pages, no figures
Scientific paper
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.
Koshkin Sergiy
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