Are EC-spaces AE(metrizable)?
Carlos Borges (1991)
Colloquium Mathematicae
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Displaying similar documents to “On dyadic spaces and almost Milyutin spaces”
Are EC-spaces AE(metrizable)?
Algebras of Borel measurable functions
Michał Morayne (1992)
Fundamenta Mathematicae
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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
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...
A little more on the product of two pseudocompact spaces
Eliza Wajch (1996)
Colloquium Mathematicae
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Eberlein spaces of finite metrizability number
István Juhász, Zoltán Szentmiklóssy, Andrzej Szymański (2007)
Commentationes Mathematicae Universitatis Carolinae
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Yakovlev [, Comment. Math. Univ. Carolin. (1980), 263–283] showed that any Eberlein compactum is hereditarily -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.
The existence of bounded solutions for differential equations in Hilbert spaces
B. Przeradzki (1992)
Annales Polonici Mathematici
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The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
A generic theorem in the theory of cardinal invariants of topological spaces
Aleksander V. Arhangel'skii (1995)
Commentationes Mathematicae Universitatis Carolinae
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Relative versions of many important theorems on cardinal invariants of topological spaces are formulated and proved on the basis of a general technical result, which provides an algorithm for such proofs. New relative cardinal invariants are defined, and open problems are discussed.