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dually
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
- ISSN
- 2367-1726
- eISSN
- 2367-1734
- DOI
- 10.1007/s41468-023-00112-1
- Publisher site
- See Article on Publisher Site
Abstract
Interpreting the syzygy theorem for tame modules over posets in the setting of derived categories of subanalytically constructible sheaves proves two conjectures due to Kashiwara and Schapira concerning the existence of stratifications of real vector spaces that play well with sheaves having microsupport in a given cone or, equivalently, sheaves in the corresponding conic topology.
Journal
Journal of Applied and Computational Topology – Springer Journals
Published: Sep 1, 2023
Keywords: Subanalytic constructible sheaf; Conic topology; Syzygy theorem; Multiparameter persistent homology; Tame poset module; Conical microsupport; Primary: 32S60; 32B20; 14F07; 55N31; 62R40; 32B25; 13D02; 13E99; 52B99; 06F20; 06F05; 20M25; 05E40; 13A02; 13P20; 68W30; 13P25; 68T09; Secondary: 06A11; 06A07; 14P10; 13C99; 05E16; 62R01; 13F99; 06B35; 20M14; 22A25