Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/90471
DC Field | Value | Language |
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dc.contributor.author | Gutiérrez García, Javier | - |
dc.contributor.author | Mozo Carollo, Imanol | - |
dc.contributor.author | Picado, Jorge | - |
dc.contributor.author | Walters-Wayland, Joanne | - |
dc.date.accessioned | 2020-07-20T16:33:18Z | - |
dc.date.available | 2020-07-20T16:33:18Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://hdl.handle.net/10316/90471 | - |
dc.description.abstract | The hedgehog metric topology is presented here in a pointfree form, by specifying its generators and relations. This allows us to deal with the pointfree version of continuous (metric) hedgehog-valued functions that arises from it. We prove that the countable coproduct of the metric hedgehog frame with κ spines is universal in the class of metric frames of weight \kappa⋅\aleph_0. We then study \kappa-collectionwise normality, a cardinal extension of normality, in frames. We prove that this is the necessary and sufficient condition under which Urysohn separation and Tietze extension-type results hold for continuous hedgehog-valued functions. We show furthermore that \kappa-collectionwise normality is hereditary with respect to F_\sigma-sublocales and invariant under closed maps. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | UID/MAT/00324/2013 | pt |
dc.rights | embargoedAccess | pt |
dc.subject | Frame, locale, frame of reals, metric hedgehog frame, metrizable frame, weight of a frame, separating family of localic maps, universal frame, join cozero \kappa-family, normal frame, \kappa-collectionwise normal frame, closed map | pt |
dc.title | Hedgehog frames and a cardinal extension of normality | pt |
dc.type | article | - |
degois.publication.firstPage | 2345 | pt |
degois.publication.lastPage | 2370 | pt |
degois.publication.issue | 6 | pt |
degois.publication.title | Journal of Pure and Applied Algebra | pt |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022404918301981 | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1016/j.jpaa.2018.08.001 | pt |
degois.publication.volume | 223 | pt |
dc.date.embargo | 2020-12-31 | * |
uc.date.periodoEmbargo | 730 | pt |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
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 | |
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TheLocalicHedgehog(FinalVersion)(Revised).pdf | 385.43 kB | Adobe PDF | View/Open |
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