Journal article
Homotopy classification of PD4-complexes relative an order relation
Abstract
We define an order relation among oriented PD4$$\textit{PD}_4$$-complexes. We show that with respect to this relation, two PD4$$\textit{PD}_4$$-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.
Authors
Hegenbarth F; Pamuk M; Repovš D
Journal
Monatshefte für Mathematik, Vol. 177, No. 2, pp. 275–293
Publisher
Springer Nature
Publication Date
June 2015
DOI
10.1007/s00605-014-0716-1
ISSN
0026-9255