How sensitive is to changes in and/or ?
Raushan Z. Buzyakova (2008)
Commentationes Mathematicae Universitatis Carolinae
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We investigate how the Lindelöf property of the function space is influenced by slight changes in and/or .
Displaying similar documents to “A note on condensations of onto compacta”
How sensitive is to changes in and/or ?
LΣ(≤ ω)-spaces and spaces of continuous functions
Israel Lara, Oleg Okunev (2010)
Open Mathematics
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We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of LΣ(≤ ω)-spaces; in particular, we prove that every Gul’ko compact space of cardinality less or equal to is an LΣ(≤ ω)-space.
A nice class extracted from -theory
Vladimir Vladimirovich Tkachuk (2005)
Commentationes Mathematicae Universitatis Carolinae
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We study systematically a class of spaces introduced by Sokolov and call them Sokolov spaces. Their importance can be seen from the fact that every Corson compact space is a Sokolov space. We show that every Sokolov space is collectionwise normal, -stable and -monolithic. It is also established that any Sokolov compact space is Fréchet-Urysohn and the space is Lindelöf. We prove that any Sokolov space with a -diagonal has a countable network and obtain some cardinality restrictions...