Continuous mappings with an infinite number of topologically critical points
Volume 67 / 1997
Annales Polonici Mathematici 67 (1997), 87-93
DOI: 10.4064/ap-67-1-87-93
Abstract
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
