On a Corson space of Todorčević
Gary Gruenhage (1986)
Fundamenta Mathematicae
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Displaying similar documents to “Aronszajn orderings.”
On a Corson space of Todorčević
Stationary sets, trees and continuums.
Todorcevic, Stevo (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Destroying precaliber : an application of a Δ-systems lemma for closed sets
Juris Steprans, Stephen Watson (1988)
Fundamenta Mathematicae
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On a problem of Sikorski
I. Juhász, William Weiss (1978)
Fundamenta Mathematicae
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A note on the extent of two subclasses of star countable spaces
Zuoming Yu (2012)
Open Mathematics
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We prove that every Tychonoff strongly monotonically monolithic star countable space is Lindelöf, which solves a question posed by O.T. Alas et al. We also use this result to generalize a metrization theorem for strongly monotonically monolithic spaces. At the end of this paper, we study the extent of star countable spaces with k-in-countable bases, k ∈ ℤ.
First countable and countable spaces all compactifications of which contain βN
Eric van Douwen, Teodor Przymusiński (1979)
Fundamenta Mathematicae
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Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom
J. Roitman (1979)
Fundamenta Mathematicae
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A class of spaces whose Cartesian product with every hereditarily Lindelöf space in Lindelöf
K. Alster (1981)
Fundamenta Mathematicae
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Is the product of ccc spaces a ccc space?
Nina M. Roy (1989)
Publicacions Matemàtiques
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In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.
The one-point Lindelöfication of an uncountable discrete space can be surlindelöf
Oleg Okunev (2013)
Open Mathematics
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We prove that the one-point Lindelöfication of a discrete space of cardinality ω 1 is homeomorphic to a subspace of C p (X) for some hereditarily Lindelöf space X if the axiom [...] holds.
A lattice of conditions on topological spaces II
P. Moody, G. Reed, A. Roscoe, P. Collins (1991)
Fundamenta Mathematicae
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