On the homotopy classification of maps

Samson Saneblidze

On the homotopy classification of maps

Algebraic Topology 2009-06-11 v3

Authors: Samson Saneblidze

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 $\pi_*(Y)$ have no torsion and $H^*(Y)$ is polynomial.

Keywords

algebraic topology homotopy theory mapping theory

Cite

@article{arxiv.0810.3896,
  title  = {On the homotopy classification of maps},
  author = {Samson Saneblidze},
  journal= {arXiv preprint arXiv:0810.3896},
  year   = {2009}
}

Comments

10 pages, 1 figure, fixed typos, added references

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