Insertion of continuous real functions on spaces, bispaces, ordered spaces and point-free spaces - a common root

We characterize normal and extremally disconnected biframes in terms of the insertion of a continuous real function in between given lower and upper semicontinuous real functions and show this to be the common root of several classical and new insertion results concerning topological spaces, bitopol...

ver descrição completa

Detalhes bibliográficos
Autor principal: Ferreira, Maria João (author)
Outros Autores: Gutiérrez García, Javier (author), Picado, Jorge (author)
Formato: other
Idioma:eng
Publicado em: 2009
Assuntos:
Texto completo:http://hdl.handle.net/10316/11191
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11191
Descrição
Resumo:We characterize normal and extremally disconnected biframes in terms of the insertion of a continuous real function in between given lower and upper semicontinuous real functions and show this to be the common root of several classical and new insertion results concerning topological spaces, bitopological spaces, ordered topological spaces and locales.