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

Mehmetcik Pamuk; Friedrich Hegenbarth; Dušan Repovš

doi:10.1007/s00605-014-0716-1

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arXiv · 1501.00551

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

Mehmetcik Pamuk·Friedrich Hegenbarth·Dušan Repovš

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Abstract

We define an order relation among oriented $PD_4$-complexes. We show that with respect to this relation, two $PD_4$-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.

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BibTeX RIS

Mehmetcik Pamuk, Friedrich Hegenbarth, Dušan Repovš. 2015-01-03. Homotopy classification of $PD_4$-complexes relative an order relation. https://doi.org/10.1007/s00605-014-0716-1

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