Homotopy classification of maps into homogeneous spaces

Sergiy Koshkin

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arXiv · 0808.0024

Homotopy classification of maps into homogeneous spaces

Sergiy Koshkin

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Abstract

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.

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Sergiy Koshkin. 2008-07-31. Homotopy classification of maps into homogeneous spaces. https://arxiv.org/abs/0808.0024

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