The finite levels of the hierarchy of effective R-sets
Peter Hinman (1973)
Fundamenta Mathematicae
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Peter Hinman (1973)
Fundamenta Mathematicae
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E. Griffor, Dag Normann (1984)
Fundamenta Mathematicae
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Douglas Cenzer (1974)
Fundamenta Mathematicae
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Henk Barendregt, Giuseppe Longo (1983)
Fundamenta Mathematicae
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Hassan Riahi (1993)
Extracta Mathematicae
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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.
Veselý, L. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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A. G. Ramm (2009)
Annales Polonici Mathematici
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A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).