Publication
Sheaves as modules
| dc.contributor.author | Resende, Pedro | |
| dc.contributor.author | Rodrigues, Elias | |
| dc.date.accessioned | 2022-02-24T14:04:31Z | |
| dc.date.available | 2022-02-24T14:04:31Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | We revisit sheaves on locales by placing them in the context of the theory of quantale modules. The local homeomorphisms p : X → B are identified with the Hilbert B-modules that are equipped with a natural notion of basis. The homomorphisms of these modules are necessarily adjointable, and the resulting self dual category yields a description of the equivalence between local homeomorphisms and sheaves whereby morphisms of sheaves arise as the “operator adjoints” of the inverse images of the maps of local homeomorphisms. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Resende, P., & Rodrigues, E. (2010). Sheaves as modules. Applied Categorical Structures, 18(2), 199-217. https://doi.org/10.1007/s10485-008-9131-x | pt_PT |
| dc.identifier.doi | 10.1007/s10485-008-9131-x | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.13/4106 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Springer | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Sheaves | pt_PT |
| dc.subject | Local homeomorphisms | pt_PT |
| dc.subject | Locales | pt_PT |
| dc.subject | Hilbert quantale modules | pt_PT |
| dc.subject | . | pt_PT |
| dc.subject | Faculdade de Ciências Exatas e da Engenharia | pt_PT |
| dc.title | Sheaves as modules | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/POCI/POCI%2FMAT%2F55958%2F2004/PT | |
| oaire.citation.endPage | 217 | pt_PT |
| oaire.citation.issue | 2 | pt_PT |
| oaire.citation.startPage | 199 | pt_PT |
| oaire.citation.title | Applied Categorical Structures | pt_PT |
| oaire.citation.volume | 18 | pt_PT |
| oaire.fundingStream | POCI | |
| person.familyName | Rodrigues | |
| person.givenName | Elias | |
| person.identifier.orcid | 0000-0002-8758-5974 | |
| person.identifier.scopus-author-id | 23993963400 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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