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

José Orihuela Calatayud Árbol académico

  • 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.


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