Results 1 to 10 of about 788 (40)
On extension functions for image space with different separation axioms [PDF]
, 2016 In this paper we study a sufficient conditions for continuous and almost continuous extensions of f to space X for an image space Y with different separation axioms.Comment: 11 ...
Osipov, Alexander V.
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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
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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
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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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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
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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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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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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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Reflecting Lindel\"of and converging omega_1-sequences
, 2013 We deal with a conjectured dichotomy for compact Hausdorff spaces: each such space contains a non-trivial converging omega-sequence or a non-trivial converging omega_1-sequence. We establish that this dichotomy holds in a variety of models; these include
Dow, Alan, Hart, Klaas Pieter
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