Homotopy truncations of homotopically stratified spaces
| Autor: | Chataur, David, Saralegi-Aranguren, Martintxo, Tanré, Daniel |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Proceedings Amer. Math. Soc. 152 (2024) n{\deg}3 pp. 1319-1332 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/proc/16612 |
| Popis: | Intersection homology of Goresky and MacPherson can be defined from the Deligne sheaf, obtained from truncations of complexes of sheaves. As intersection homology is not the homology of a particular space, the search for a family of spaces whose homologies have properties analogous to intersection homology has developed. For some stratified spaces, M. Banagl has introduced such a family by using a topological truncation: the original link is replaced by a truncation of its homological Moore resolution. In this work, we study the dual approach in the Eckmann-Hilton sense : we consider the stratified space obtained by replacing the original link by a Postnikov approximation. The main result is that our construction restores the space constructed by Gajer to establish an intersection Dold-Thom theorem. We are conducting this study within the general framework of Quinn's homotopically stratified spaces. Comment: New title and example. More detailed wording of some passages. Published version |
| Databáze: | arXiv |
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