On semi-Suslin spaces and webbed spaces of type C (Q1086460)

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.