Homotopy classification of PD4 complexes

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2015-07-17
Pamuk, Mehmetcik
Repovs, Dusan
Hegenbarth, Friedrich
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.