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Some characterizations of acyclic maps

Raptis, George


We discuss two categorical characterizations of the class of acyclic maps between spaces. The first one is in terms of the higher categorical notion of an epimorphism. The second one employs the notion of a balanced map, that is, a map whose homotopy pullbacks along pi 0-surjective maps define also homotopy pushouts. We also identify the modality in the homotopy theory of spaces that is defined ...


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