Between Martin's Axiom and Souslin's Hypothesis
Kenneth Kunen, Franklin Tall (1979)
Fundamenta Mathematicae
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Displaying similar documents to “On the combinatorial principle P(c)”
Between Martin's Axiom and Souslin's Hypothesis
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.
Tightness and resolvability
Angelo Bella, Viacheslav I. Malykhin (1998)
Commentationes Mathematicae Universitatis Carolinae
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We prove resolvability and maximal resolvability of topological spaces having countable tightness with some additional properties. For this purpose, we introduce some new versions of countable tightness. We also construct a couple of examples of irresolvable spaces.
Some set-theoretic consistency results in topology
Tall, F. D.
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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.
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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The Tychonoff product theorem implies the axiom of choice
J. Kelley (1950)
Fundamenta Mathematicae
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