On the homotopy classification of maps

Samson Saneblidze

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arXiv · 0810.3896

On the homotopy classification of maps

Samson Saneblidze

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Abstract

We establish certain conditions which imply that a map $f:X\to Y$ of topological spaces is null homotopic when the induced integral cohomology homomorphism is trivial; one of them is: $H^*(X)$ and $π_*(Y)$ have no torsion and $H^*(Y)$ is polynomial.

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Samson Saneblidze. 2009-06-11. On the homotopy classification of maps. https://arxiv.org/abs/0810.3896

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