English

Steenrod problem and the domination relation

Algebraic Topology 2019-09-09 v1 Geometric Topology

Abstract

We indicate how to combine some classical topology (Thom's work on the Steenrod problem) with some modern topology (simplicial volume) to show that every map between certain manifolds must have degree zero. We furthermore discuss a homotopy theoretic interpretation of parts of our proof, using Thom spaces and Steenrod powers.

Keywords

Cite

@article{arxiv.1808.03991,
  title  = {Steenrod problem and the domination relation},
  author = {Jean-François Lafont and Christoforos Neofytidis},
  journal= {arXiv preprint arXiv:1808.03991},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T03:31:25.995Z