Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43901
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mozo Carollo, Imanol | - |
dc.contributor.author | Gutiérrez García, Javier | - |
dc.contributor.author | Picado, Jorge | - |
dc.date.accessioned | 2017-10-13T09:23:10Z | - |
dc.date.issued | 2015 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43901 | - |
dc.description.abstract | This paper introduces the frame of partially defined real numbers and the lattice-ordered ring of partial real functions on a frame. This is then used to construct the order completion of rings of pointfree continuous real functions. The bounded and integer-valued cases are also analysed. The application of this pointfree approach to the classical case C(X) of the ring of continuous real-valued functions on a topological space X yields a new construction for the Dedekind completion of C(X), considerably more direct and natural than the known procedure using Hausdorff continuous functions. | por |
dc.language.iso | eng | por |
dc.publisher | De Gruyter | por |
dc.relation | PEst-C/MAT/UI0324/2011 | por |
dc.rights | embargoedAccess | - |
dc.title | On the Dedekind completion of function rings | por |
dc.type | article | - |
degois.publication.issue | 5 | por |
degois.publication.title | Forum Mathematicum | por |
dc.relation.publisherversion | https://doi.org/10.1515/forum-2012-0095 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1515/forum-2012-0095 | por |
dc.identifier.doi | 10.1515/forum-2012-0095 | - |
degois.publication.volume | 27 | por |
dc.date.embargo | 2018-10-13T09:23:10Z | - |
uc.controloAutoridade | Sim | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairetype | article | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-7837-1221 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
forum0095.pdf | 323.72 kB | Adobe PDF | View/Open |
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