Proper maps for lax algebras and the Kuratowski-Mrówka Theorem

The characterization of stably closed maps of topological spaces as the closed maps with compact fibres and the role of the Kuratowski-Mrowka' Theorem in this characterization are being explored in the general context of lax (T; V )-algebras, for a quantale V and a Set-monad T with a lax extens...

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Detalhes bibliográficos
Autor principal: Clementino, Maria Manuel (author)
Outros Autores: Tholen, Walter (author)
Formato: article
Idioma:eng
Publicado em: 2013
Texto completo:http://hdl.handle.net/10316/42770
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/42770
Descrição
Resumo:The characterization of stably closed maps of topological spaces as the closed maps with compact fibres and the role of the Kuratowski-Mrowka' Theorem in this characterization are being explored in the general context of lax (T; V )-algebras, for a quantale V and a Set-monad T with a lax extension to V -relations. The general results are being applied in standard (topological and metric) and non-standard (labeled graphs) contexts.