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

Du\v{s}an Repov\v{s}; Friedrich Hegenbarth; Mehmetcik Pamuk

arxiv: 1501.00551 · v1 · pith:4CCIAZTXnew · submitted 2015-01-03 · 🧮 math.GT · math.AT

Homotopy classification of PD₄-complexes relative an order relation

Mehmetcik Pamuk , Friedrich Hegenbarth , Du\v{s}an Repov\v{s} This is my paper

classification 🧮 math.GT math.AT

keywords relationcomplexeshomotopyorderclassificationcomplexconsiderdefine

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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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Homotopy classification of PD₄-complexes relative an order relation

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