English

Maps of Degree 1 and Lusternik--Schnirelmann Category

Algebraic Topology 2016-09-27 v2

Abstract

Given a map f:MNf: M \to N of degree 1 of closed manifolds. Is it true that the Lusternik--Schnirelmann category of the range of the map is not more that the category of the domain? We discuss this and some related questions.

Keywords

Cite

@article{arxiv.1605.07093,
  title  = {Maps of Degree 1 and Lusternik--Schnirelmann Category},
  author = {Yuli Rudyak},
  journal= {arXiv preprint arXiv:1605.07093},
  year   = {2016}
}

Comments

6 pages, special issue of the journal Topology and its Applications dedicated to the 120th anniversary of P.S. Alexandroff