Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/7757
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dc.contributor.authorClementino, Maria-
dc.contributor.authorHofmann, Dirk-
dc.contributor.authorTholen, Walter-
dc.date.accessioned2009-02-17T11:17:36Z-
dc.date.available2009-02-17T11:17:36Z-
dc.date.issued2004en_US
dc.identifier.citationApplied Categorical Structures. 12:2 (2004) 127-154en_US
dc.identifier.urihttp://hdl.handle.net/10316/7757-
dc.description.abstractAbstract 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.isoengeng
dc.rightsopenAccesseng
dc.titleOne Setting for All: Metric, Topology, Uniformity, Approach Structureen_US
dc.typearticleen_US
dc.identifier.doi10.1023/B:APCS.0000018144.87456.10en_US
uc.controloAutoridadeSim-
item.fulltextCom Texto completo-
item.languageiso639-1en-
item.grantfulltextopen-
crisitem.author.deptFaculdade de Ciências e Tecnologia, Universidade de Coimbra-
crisitem.author.parentdeptUniversidade de Coimbra-
crisitem.author.researchunitCenter for Mathematics, University of Coimbra-
crisitem.author.orcid0000-0002-2653-8090-
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais
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