| dc.contributor.author | Prasolov, Andrei | |
| dc.date.accessioned | 2022-03-01T13:59:02Z | |
| dc.date.available | 2022-03-01T13:59:02Z | |
| dc.date.issued | 2021-10-21 | |
| dc.description.abstract | The categories pCS(X,Pro(k)) of precosheaves and CS(X,Pro(k)) of cosheaves on a small Grothendieck site X, with values in the category Pro(k) of prok-modules, are constructed. It is proved that pCS(X,Pro(k)) satisfies the AB4 and AB5* axioms, while CS(X,Pro(k)) satisfies AB3 and AB5*. Homology theories for cosheaves and precosheaves, based on quasi-projective resolutions, are constructed and investigated. | en_US |
| dc.description | Source at <a href=http://www.tac.mta.ca/tac/volumes/37/33/37-33.pdf>http://www.tac.mta.ca/tac/volumes/37/33/37-33.pdf</a>. | en_US |
| dc.identifier.citation | Prasolov A. Cosheaves. Theory and Applications of Categories. 2021;37(33):1080-1148 | en_US |
| dc.identifier.cristinID | FRIDAID 1950588 | |
| dc.identifier.issn | 1201-561X | |
| dc.identifier.uri | https://hdl.handle.net/10037/24208 | |
| dc.language.iso | eng | en_US |
| dc.publisher | Mount Allison University | en_US |
| dc.relation.journal | Theory and Applications of Categories | |
| dc.rights.accessRights | openAccess | en_US |
| dc.rights.holder | Copyright 2021 The Author(s) | en_US |
| dc.subject | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
| dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410 | en_US |
| dc.title | Cosheaves | en_US |
| dc.type.version | publishedVersion | en_US |
| dc.type | Journal article | en_US |
| dc.type | Tidsskriftartikkel | en_US |
| dc.type | Peer reviewed | en_US |
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