Results 61 to 70 of about 560 (152)

Pseudocompactness and Closed Subsets of Products [PDF]

Proceedings of the American Mathematical Society, 1979
This paper contains several new characterizations of arbitrary pseudocompact spaces, i.e. spaces characterized by the property that all continuous real-valued functions on the space are bounded. These characterizations parallel known characterizations of Hausdorff spaces including the useful and well-known result that a space
openaire   +2 more sources

Extremal pseudocompact topological groups

, 2004
Topological groups here are assumed to satisfy the Hausdorff separation property. A topological group G is totally bounded if it embeds as a (dense) subgroup of a compact group G¯; here G¯, the Weil completion of G, is unique in the obvious sense.
W.W. Comfort, Comfort, W.W., Galindo, Jorge, Jorge Galindo   +3 more
core   +1 more source

Pseudocompact group topologies with no infinite compact subsets [PDF]

, 2009
We show that every Abelian group satisfying a mild cardinal inequality admits a pseudocompact group topology from which all countable subgroups inherit the maximal totally bounded topology (we say that such a topology satisfies property ).
Sergio Macario, Galindo, Jorge, Jorge Galindo, Macario, Sergio   +3 more
core   +1 more source

The group of characters of a pseudocompact locally compact semitopological semigroup

Applied General Topology
We prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
doaj   +1 more source

Iterated starcompact topological spaces

Applied General Topology, 2004
Let P be a topological property. A space X is said to be k-P-starcompact if for every open cover U of X, there is a subspace A C X with P such that stk(A,U) = X.
Junhui Kim
doaj   +1 more source

F-points in countably compact spaces

Applied General Topology, 2001
Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.
Angelo Bella, V.I. Malykhin
doaj   +1 more source

Three examples of pseudocompact quasitopological groups

, 2006
A quasitopological group is an abstract group with topology in which the inversion and all translations are continuous. We show that a pseudocompact quasitopological group of countable cellularity need not be a Moscow space. Then we present an example of
Hernández, C., Tkachenko, M.
core   +1 more source

An operation on topological spaces

Applied General Topology, 2000
A (binary) product operation on a topological space X is considered. The only restrictions are that some element e of X is a left and a right identity with respect to this multiplication, and that certain natural continuity requirements are satisfied ...
A.V. Arhangelskii
doaj   +1 more source

On pseudo-k-spaces

Applied General Topology, 2008
In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-
Anna Maria Miranda
doaj   +1 more source

Topologies between compact and uniform convergence on function spaces

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley   +1 more source