Abstract
We analyze the topology and geometry of a polyhedron of dimension 2 according to the minimum size of a cover by PL collapsible polyhedra. We provide partial characterizations of the polyhedra of dimension 2 that can be decomposed as the union of two PL collapsible subpolyhedra in terms of their simple homotopy type and certain local properties.
Citation
Eugenio Borghini. "Some remarks on PL collapsible covers of 2-dimensional polyhedra." Osaka J. Math. 57 (1) 39 - 49, January 2020.