Results 41 to 50 of about 477 (60)
Metrizability of Clifford topological semigroups
, 2011 We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is a metrizable $G_\delta$-set in $S$.
A. Arhangel’skii +13 more
core +1 more source
Set-theoretic problems concerning Lindelof spaces [PDF]
, 2010 I survey problems concerning Lindelof spaces which have partial set- theoretic ...
Tall, Franklin D.
core
The basis problem for subspaces of monotonically normal compacta
, 2016 We prove, assuming Souslin's Hypothesis, that each uncountable subspace of each zero-dimensional monotonically normal compact space contains an uncountable subset of the real line with either the metric, the Sorgenfrey, or the discrete topology.Comment ...
Ahmad Farhat +23 more
core +1 more source
Base-free Formulas in the Lattice-theoretic Study of Compacta [PDF]
, 2011 The languages of finitary and infinitary logic over the alphabet of bounded lattices have proven to be of considerable use in the study of compacta. Significant among the sentences of these languages are the ones that are base free, those whose truth is ...
Bankston, Paul
core +1 more source
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
core +1 more source
A class of compact subsets for non-sober topological spaces [PDF]
, 2011 We define a class of subsets of a topological space that coincides with the class of compact saturated subsets when the space is sober, and with enough good properties when the space is not sober.
Poncet, Paul
core
, 2011 It is shown that, modulo an equivalence relation induced by finite correspondences preserving Cantor rank, the class of topological spaces is an integral semi-ring on which the Cantor derivative is precisely a ...
Milliet, Cédric
core +1 more source
Group reflection and precompact paratopological groups
Topological Algebra and its Applications, 2013 Tkachenko Mikhail
doaj +1 more source
Boolean algebras admitting a countable minimally acting group
Open Mathematics, 2014 Błaszczyk Aleksander +2 more
doaj +1 more source
Connectedness and Compactness via Semi-Star-Alpha-Open Sets
, 2014 A. Robert, S. Missier
semanticscholar +1 more source