Results 1 to 10 of about 801 (48)
Preconvergence compactness and P-closed spaces
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
Regular-closed, Urysohn-closed and completely Hausdorff-closed spaces. [PDF]
Horst Herrlich
semanticscholar +3 more sources
On extension functions for image space with different separation axioms [PDF]
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]
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
core +1 more source
Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups [PDF]
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]
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]
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
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
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
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