Results 11 to 20 of about 823 (59)
A rich hierarchy of functionals of finite types [PDF]
, 2009 We are considering typed hierarchies of total, continuous functionals using complete, separable metric spaces at the base types. We pay special attention to the so called Urysohn space constructed by P. Urysohn. One of the properties of the Urysohn space
D. Lenik: +2 more
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Preconvergence compactness and P-closed spaces
International Journal of Mathematics and Mathematical Sciences, 1984 In this article the major result characterizes preconvergence compactness in terms of the preconvergence closedness of second projections. Applying this result to a topological space (X,T) yields similar characterizations for H-closed, nearly compact ...
Robert A. Herrmann
doaj +1 more source
Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups [PDF]
, 2004 We study in this paper some connections between the Fraisse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures.Comment: 73 pages, LaTeX 2e, to appear in ...
Kechris, A. S. +2 more
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Domain Representations Induced by Dyadic Subbases [PDF]
, 2015 We study domain representations induced by dyadic subbases and show that a proper dyadic subbase S of a second-countable regular space X induces an embedding of X in the set of minimal limit elements of a subdomain D of $\{0,1,\perp\}\omega$.
Tsuiki, Hideki, Tsukamoyo, Yasuyuki
core +1 more source
Feebly compact paratopological groups and real-valued functions [PDF]
, 2012 We present several examples of feebly compact Hausdorff paratopological groups (i.e., groups with continuous multiplication) which provide answers to a number of questions posed in the literature.
Sanchis López, Manuel +1 more
core +2 more sources
Strongly sequentially separable function spaces, via selection principles [PDF]
, 2019 A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set.
Osipov, Alexander V. +2 more
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 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. The best results in the literature are that if L(X) can be embedded as a topological vector subspace of L(I), where I=[0 ...
Saak S. Gabriyelyan +2 more
wiley +1 more source
On the class of continuous images of non-commutative Valdivia compacta
, 2016 We investigate the class of continuous images of non-commutative Valdivia compact spaces, in particular its subclass of weakly non-commutative Cor- son countably compact spaces.
Somaglia, Jacopo
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A Study of Non‐Euclidean s‐Topology
International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012 The present paper focuses on the characterization of compact sets of Minkowski space with a non‐Euclidean s‐topology which is defined in terms of Lorentz metric. As an application of this study, it is proved that the 2‐dimensional Minkowski space with s‐topology is not simply connected. Also, it is obtained that the n‐dimensional Minkowski space with s‐
Gunjan Agrawal +3 more
wiley +1 more source
Lipschitz functions on topometric spaces
, 2013 We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Yaacov, Itaï Ben
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