The degrees of maps between $(2n-1)$-Poincar\' e complexes
Algebraic Topology
2013-09-06 v1 Geometric Topology
Abstract
In this paper, using exclusively homotopy theoretical methods, we study degrees of maps between -connected -dimensional Poincar\' e complexes which have torsion free integral homology. Necessary and sufficient algebraic conditions for the existence of map degrees between such Poincar\' e complexes are established. We calculate the set of all map degrees between certain two -connected -dimensional torsion free Poincar\'e complexes. For low , using knowledge of possible degrees of self maps, we classify, up to homotopy, torsion free -connected -dimensional Poincar\' e complexes.
Cite
@article{arxiv.1309.1361,
title = {The degrees of maps between $(2n-1)$-Poincar\' e complexes},
author = {Jelena Grbic and Aleksandar Vucic},
journal= {arXiv preprint arXiv:1309.1361},
year = {2013}
}