Cosheaves
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 pro-k-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 theo...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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
pro-k-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. |
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| DOI: | 10.48550/arxiv.1804.07988 |