Homotopy classification of $PD_4$-complexes relative an order relation

Mehmetcik Pamuk; Friedrich Hegenbarth; Dušan Repovš

doi:10.1007/s00605-014-0716-1

paper

Homotopy classification of $P D_{4}$ -complexes relative an order relation

arXiv:1501.00551 · doi:10.1007/s00605-014-0716-1

Abstract

We define an order relation among oriented $P D_{4}$ -complexes. We show that with respect to this relation, two $P D_{4}$ -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.

Monatsh. Math. (2015)

References in corpus (1)

On minimal Poincaré $4$ -complexes

Homotopy classification of PD4​-complexes relative an order relation

Abstract

References in corpus (1)

Homotopy classification of $P D_{4}$ -complexes relative an order relation