Results 81 to 90 of about 560 (152)
Dense minimal pseudocompact subgroups of compact abelian groups [PDF]
, 2008 Motivated by a recent theorem of Comfort and van Mill, we study when a pseudocompact Abelian group admits proper dense minimal pseudocompact subgroups and give a complete answer in the case of compact Abelian groups.
GIORDANO BRUNO, Anna
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Concerning connected, pseudocompact Abelian groups
, 1989 It is known that if P is either the property ω-bounded or countably compact, then for every cardinal α ⩾ ω there is a P-group G such that wG = α and no proper, dense subgroup of G is a P-group. What happens when P is the property pseudocompact? The first-
W.W. Comfort +3 more
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A pseudocompact meta-lindeöf space which is not compact
, 1985 We construct a pseudocompact meta-Lindelöf space which is not compact. This contrasts with the results that pseudocompact metacompact spaces are compact (Scott, Forster, Watson) and that pseudocompact para-Lindelöf spaces are compact (Burke, Davis).
Watson, W.Stephen, W.Stephen Watson
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Pseudocompactness and invariance of continuity
General Topology and its Applications, 1977 AbstractGiven a space (X, ˕) and a class Σ of spaces, we study the topologies comparable to ˕ which determine the same continuous functions into all spaces of Σ, which we call the Σ-invariant expansions and compressions of ˕. We extend results of E. Kocela relating pseudo-compactness and real-invariant expansions to obtain characterizations of minimal ...
Guthrie, Joe A., Stone, H. E.
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Star covering properties in pseudocompact spaces
, 2012 In this paper, we construct the following three examples:(1)There exists a pseudocompact Tychonoff space that is not 112 star Lindelöf;(2)There exists a pseudocompact star σ-compact Tychonoff space that is not star countable;(3)There exists a 112 star ...
Song, Yankui
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Coloring Cantor sets and resolvability of pseudocompact spaces [PDF]
, 2018 summary:Let us denote by $\Phi(\lambda,\mu)$ the statement that $\mathbb{B}(\lambda) = D(\lambda)^\omega$, i.e. the Baire space of weight $\lambda$, has a coloring with $\mu$ colors such that every homeomorphic copy of the Cantor set $\mathbb{C}$ in ...
Juhász, István +2 more
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A note on pseudocompact spaces and 𝑘_{𝑅}-spaces
, 1977 Utilizing the Stone-Čech compactification of an uncountable discrete space, we construct a pseudocompact space X which belongs to Frolík’s class P ∗ {\mathfrak {P}^ \ast } but
Akio Kato
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On zero-dimensionality and the connected component of locally pseudocompact groups
, 2010 A topological group is locally pseudocompact if it contains a nonempty open set with pseudocompact closure. In this paper, we prove that if G is a group with the property that every closed subgroup of G is locally pseudocompact, then G0 is dense in the ...
DIKRANJAN, Dikran +3 more
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Generalized linearly ordered spaces and weak pseudocompactness [PDF]
, 1997 summary:A space $X$ is {\it truly weakly pseudocompact} if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove that if $X$ is a generalized linearly ordered space, and either (i) each proper open interval in $X$ is truly weakly ...
Okunev, O., Tamariz-Mascarúa, A.
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