Raptis, George (2019) Some characterizations of acyclic maps. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 14 (3). pp. 773-785. ISSN 2193-8407, 1512-2891
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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 by the class of acyclic maps, and discuss the content of the generalized Blakers-Massey theorem for this modality.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | HOMOLOGY; SPACE; Acyclic map; Plus construction; Modality |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Georg Dolzmann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 31 Mar 2020 08:26 |
| Last Modified: | 31 Mar 2020 08:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26387 |
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