Homotopy classification of $PD_4$-complexes relative an order relation
Geometric Topology
2015-05-18 v1 Algebraic Topology
Abstract
We define an order relation among oriented -complexes. We show that with respect to this relation, two -complexes over the same complex are homotopy equivalent if and only if there is an isometry between the second homology groups. We also consider minimal objects of this relation.
Keywords
Cite
@article{arxiv.1501.00551,
title = {Homotopy classification of $PD_4$-complexes relative an order relation},
author = {Mehmetcik Pamuk and Friedrich Hegenbarth and Dušan Repovš},
journal= {arXiv preprint arXiv:1501.00551},
year = {2015}
}
Comments
Monatsh. Math. (2015)