Results 1 to 10 of about 801 (48)

Preconvergence compactness and P-closed spaces

open access: yesInternational 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   +2 more sources

On extension functions for image space with different separation axioms [PDF]

open access: yes, 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.
core   +2 more sources

A rich hierarchy of functionals of finite types [PDF]

open access: yes, 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. Lešnik:   +2 more
core   +1 more source

Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups [PDF]

open access: yes, 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
core   +2 more sources

Feebly compact paratopological groups and real-valued functions [PDF]

open access: yes, 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

Domain Representations Induced by Dyadic Subbases [PDF]

open access: yes, 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

Connected Hausdorff topologies weaker than the Euclidean topology of the rationals

open access: yesPublicationes mathematicae (Debrecen), 1997
We prove that for every countable regular space without isolated points there exists a weaker topology such that the new space is either first countable, connected, locally connected Hausdorff (respectively anti-Urysohn, Urysohn, or almost regular) or ...
T. Tzannes
semanticscholar   +1 more source

Lipschitz functions on topometric spaces

open access: yes, 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
core   +2 more sources

On the class of continuous images of non-commutative Valdivia compacta

open access: yes, 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
core   +1 more source

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