Results 111 to 120 of about 560 (152)

Selectively pseudocompact spaces

open access: yes
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space $X$ is termed {\em selectively pseudocompact} if for any sequence $(U_n:n\in ω)$ of pairwise disjoint non-empty open sets of $X$, one can choose points $x_n\in U_n$ such that the sequence $(x_n:n\in ω)$ has an accumulation point.
Juhász, István   +2 more
openaire   +2 more sources

Heredity of tau-pseudocompactness

open access: yes, 2005
S. Garcia-Ferreira and H. Ohta gave a construction that was intended to produce a tau-pseudocompact space, which has a regular-closed zero set A and a regular-closed C-embedded set B such that neither A nor B is tau-pseudocompact. We show that although their sets A, B are not regular-closed, there are at least two ways to make their construction work ...
openaire   +2 more sources

Disconnectedness and dimension in pseudocompact groups

open access: yes, 1992
Total (hereditary) disonnectedness and zero-dimentionality are compared in various classes of compact-like groups (pseudocompact, countably compact, minimal, totally minimal, etc.)
DIKRANJAN, Dikran
core  

MAXIMAL PSEUDOCOMPACT AND MAXIMAL R-CLOSED SPACES

open access: yes, 2013
In this paper a space X is pseudocompact if it is Tychonoff and every real-valued continuous function on X is bounded. We obtain conditions under which a Tychonoff space is maximal pseudocompact and study conditions under which a regular space is maximal
Wilson, Richard G.   +2 more
core  

𝑚-pseudocompactness [PDF]

open access: yesTransactions of the American Mathematical Society, 1962
openaire   +1 more source

Fragmentability of function spaces Cp(T) for pseudocompact spaces T

open access: yes, 2015
For a compact space T it is known that the space Cp(T) (of all continuous functions in T, endowed with the pointwise convergence topology p) is fragmentable by a metric that majorizes p if and only if it is fragmentable by another metric which majorizes ...
Kenderov, PS, Choban, MM, Moors, Warren
core  

On pseudocompact topological Brandt λ0-extensions of semitopological monoids

open access: yesTopological Algebra and its Applications, 2013
Gutik Oleg, Pavlyk Kateryna
doaj   +1 more source

Pseudocompactness and uniform continuity in topological groups [PDF]

open access: yesPacific Journal of Mathematics, 1966
Comfort, W. W., Ross, Kenneth A.
openaire   +2 more sources

On pseudocompactness and continuous mappings

open access: yesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1962
Hanai, Sitiro, Okuyama, Akihiro
openaire   +3 more sources

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