English

Borsuk-Ulam type theorems for manifolds

Combinatorics 2012-09-19 v6 Algebraic Topology

Abstract

This paper establishes a Borsuk-Ulam type theorem for PL-manifolds with a finite group action, depending on the free equivariant cobordism class of a manifold. In particular, necessary and sufficient conditions are considered for a manifold with a free involution to be a Borsuk-Ulam type.

Cite

@article{arxiv.0912.0787,
  title  = {Borsuk-Ulam type theorems for manifolds},
  author = {Oleg R. Musin},
  journal= {arXiv preprint arXiv:0912.0787},
  year   = {2012}
}

Comments

13 pages

R2 v1 2026-06-21T14:19:30.934Z