paper

Maps of Degree 1 and Lusternik--Schnirelmann Category

arXiv:1605.07093

Abstract

Given a map 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.

arXiv comment6 pages, special issue of the journal Topology and its Applications dedicated to the 120th anniversary of P.S. Alexandroff