Sobre espacios semi-Suslin y espacios con red de tipo C

Autores: José Orihuela Calatayud
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 36, Fasc. 2, 1985, págs. 177-197
Idioma: español
Títulos paralelos:
- On semi-Suslin spaces and webbed spaces of type C
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Resumen
- This paper is devoted to the study of the relations between the classes of webbed spaces introduced by De Wilde and the class of semi-Suslin spaces of Valdivia. Both classes are related with the closed graph theorem. We prove that a strictly webbed space is semi-Suslin and that a semi-Suslin space is webbed. Further, we show that a webbed and locally complete space is semi-Suslin too. Looking at convexity conditions we introduce some extensions of semi-Suslin spaces giving new results related with the closed graph theorem.