The Dugundji extension theorem and extension degree
Katsuya Eda (1995)
Colloquium Mathematicae
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Displaying similar documents to “Are EC-spaces AE(metrizable)?”
The Dugundji extension theorem and extension degree
Tietze Extension Theorem for n-dimensional Spaces
Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
The Mazur intersection property for families of closed bounded convex sets in Banach spaces
Pradipta Bandyopadhyaya (1992)
Colloquium Mathematicae
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Probability measure functors preserving infinite-dimensional spaces
Nhu Nguyen, Katsuro Sakai (1996)
Colloquium Mathematicae
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Generalized closed sets in Čech closed spaces.
Boonpok, Chawalit (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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On Asplund functions
Wee-Kee Tang (1999)
Commentationes Mathematicae Universitatis Carolinae
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A class of convex functions where the sets of subdifferentials behave like the unit ball of the dual space of an Asplund space is found. These functions, which we called Asplund functions also possess some stability properties. We also give a sufficient condition for a function to be an Asplund function in terms of the upper-semicontinuity of the subdifferential map.