GENERALIZATION OF THE SERRE-SWAN-MALLIOS THEOREM FOR SHEAVES AND PRESHEAVES

DOI10.1142/S1793557109000455zbMath1245.13008OpenAlexW1980178342MaRDI QIDQ5189957

Mart Abel

Publication date: 11 March 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557109000455

zbMATH Keywords

sheavespresheavesequivalence between the categoriesmodule bundlesSerre-Swan(-Mallios) theorem

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Topological rings and modules (13J99) Topology of vector bundles and fiber bundles (57R22) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Presheaves and sheaves in general topology (54B40)

Cites Work

• On a category of module bundles
• A generalization of the Serre-Swan-Mallios theorem

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