Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/7757
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Clementino, Maria | - |
dc.contributor.author | Hofmann, Dirk | - |
dc.contributor.author | Tholen, Walter | - |
dc.date.accessioned | 2009-02-17T11:17:36Z | - |
dc.date.available | 2009-02-17T11:17:36Z | - |
dc.date.issued | 2004 | en_US |
dc.identifier.citation | Applied Categorical Structures. 12:2 (2004) 127-154 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/7757 | - |
dc.description.abstract | Abstract For a complete lattice V which, as a category, is monoidal closed, and for a suitable Set-monad T we consider (T,V)-algebras and introduce (T,V)-proalgebras, in generalization of Lawvere's presentation of metric spaces and Barr's presentation of topological spaces. In this lax-algebraic setting, uniform spaces appear as proalgebras. Since the corresponding categories behave functorially both in T and in V, one establishes a network of functors at the general level which describe the basic connections between the structures mentioned by the title. Categories of (T,V)-algebras and of (T,V)-proalgebras turn out to be topological over Set. | en_US |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.title | One Setting for All: Metric, Topology, Uniformity, Approach Structure | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1023/B:APCS.0000018144.87456.10 | en_US |
uc.controloAutoridade | Sim | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-2653-8090 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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