On normality of the product of two spaces
Atsuji, M.
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Displaying similar documents to “Four generalizations of stratifiable spaces”
On normality of the product of two spaces
Monotone meta-Lindelöf spaces
Yin-Zhu Gao, Wei-Xue Shi (2009)
Czechoslovak Mathematical Journal
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In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf -spaces in their linearly ordered extensions are revealed.
Monotone normality and extension of functions
Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.