There exists a polyhedron dominating infinitely many different homotopy types
Volume 151 / 1996
Fundamenta Mathematicae 151 (1996), 39-46
DOI: 10.4064/fm-151-1-39-46
Abstract
We answer a question of K. Borsuk (1968) by showing that there exists a polyhedron dominating infinitely many polyhedra of different homotopy types. This also gives solutions of two other problems in shape theory.
