Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy K?kol,Wies?aw Kubi?,Manuel López-Pellicer Book 20111st edition Sprin

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Blood-Vessels

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M. Isabel Santaulària i Capdevilatheorem of Christensen stating that a metrizable and separable space . is .-compact if and only if ..(.) is analytic is proved. We show that the analyticity of ..(.) for any . implies that . is .-compact (Calbrix’s theorem). We show that ..(.) is K-analytic-framed in ?. if and only if ..(.) admits a

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Wolfgang Van Den Daele,Wolfgang Krohnd only if (.′,.(.′,.)) is Lindel?f if and only if (.,.(.,.′)) has countable tightness. We show that every quasibarrelled space in the class . has countable tightness both for the weak and the original topologies. This extends a classical result of Kaplansky for a metrizable lcs. Although (.)-spaces

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https://doi.org/10.1007/978-1-349-20213-3short. In particular, we present Nakhmanson’s theorem stating that if . is a compact line such that ..(.) is a Lindel?f space, then . is second-countable. We also discuss the separable complementation property in the context of compact lines..Compact lines are relatively easy to investigate, yet the