Results 11 to 20 of about 15,159 (191)
A function space from a compact metrizable space to a dendrite with the hypo-graph topology
Open Mathematics, 2015 Let X be an infinite compact metrizable space having only a finite number of isolated points and Y be a non-degenerate dendrite with a distinguished end point v.
Yang Hanbiao +2 more
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On the weak and pointwise topologies in function spaces [PDF]
, 2015 For a compact space $K$ we denote by $C_w(K)$ ($C_p(K)$) the space of continuous real-valued functions on $K$ endowed with the weak (pointwise) topology. In this paper we address the following basic question which seems to be open: Suppose that $K$ is an
Krupski, Mikołaj
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Extensions of maps to the projective plane [PDF]
, 2005 It is proved that for a 3-dimensional compact metrizable space X the infinite real projective space is an absolute extensor of X if and only if the real projective plane is an absolute extensor of X.Comment: Published by Algebraic and Geometric Topology ...
Dydak, Jerzy, Levin, Michael
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Locally n-Connected Compacta and UVn-Maps
Analysis and Geometry in Metric Spaces, 2015 We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
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$\omega$-Jointly Metrizable Spaces [PDF]
Missouri Journal of Mathematical Sciences, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Connected metrizable subtopologies and partitions into copies of the Cantor set
Applied General Topology, 2006 We prove under Martin’s Axiom that every separable metrizable space represented as the union of less than 2 ω zero-dimensional compact subsets is zero-dimensional. On the other hand, we show in ZFC that every separable completely metrizable space without
Irina Druzhinina
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Metrizability of Adjunction Spaces [PDF]
Proceedings of the American Mathematical Society, 1970 In a recent conversation with E. A. Michael and D. Hyman the following natural question was raised: Are the M-spaces of Hyman (see Definition 3.1) metrizable whenever they are first countable? We will answer this question affirmatively. Indeed, we will prove the somewhat stronger result that the M-spaces of Hyman are metrizable whenever they are of ...
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Function spaces of completely metrizable spaces [PDF]
Transactions of the American Mathematical Society, 1993 Let X X and Y Y be metric spaces and let ϕ : C p ( X ) → C p ( Y ) \phi :{C_p}(X) \to {C_p}(Y) (resp. ϕ :
Baars, Jan, de Groot, Joost, Pelant, Jan
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, 2018 If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
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Metrizations of Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1957 A two-dimensional G-space,1 in which the geodesic through two distinct points is unique, is either homeomorphic to the plane E2 and all geodesics are isometric to a straight line, or it is homeomorphic to the projective plane p2 and all geodesics are isometric to the same circle, see [1, ??10 and 31]. Two problems arise in either case: (1) To determine
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