Algorithmic Solvability of the Lifting Extension Problem
Authors
ČADEK, Martin (203 Czech Republic, belonging to the institution), Marek KRČÁL (203 Czech Republic) and Lukáš VOKŘÍNEK (203 Czech Republic, guarantor, belonging to the institution)
Edition
Discrete & Computational Geometry, New York, Springer, 2017, 0179-5376
Let X and Y be finite simplicial sets, both equipped with a free simplicial action of a finite group. Assuming that Y is d-connected and dimX less orequal to 2d, we provide an algorithm that computes the set of all equivariant homotopy classes of equivariant continuous maps between geometric realizations of X and Y. This yields the first algorithm for deciding topological embeddability of a k-dimensional finite simplicial complex into n-dimensional Euclidean space under certain conditions on k and n.
Links
GBP201/12/G028, research and development project
Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku