Add to ORKGThis paper is dedicated to John C. Oxtoby, who sparked the author's interest in the subject. 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-Galvin example of two ccc spaces whose product is not a ccc space
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
The paper analyses the category-theoretical structures involved with the notion of continuity in the...
AbstractWe construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose pr...
In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesi...
AbstractUsing the continuum hypothesis, we give a counterexample for the following problem posed by ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
AbstractThe continuum hypothesis implies that there are (normal) countably paracompact spaces X and ...
Abstract. A continuum X having the property of Kelley is constructed such that neither X[0; 1], nor ...
A characterization of Cp(X), the family of subcontinua of X containing a fixed point of X, when X i...
AbstractBrown, Booth and Tillotson introduced the C-product, or the BBT C-product, for any class C o...
AbstractThe class of spaces such that their product with every Lindelöf space is Lindelöf is not wel...
A topological space X is called an LC-space if every Lindelöf subset of X is closed. In this note w...
AbstractWe define the continuum up to order isomorphism, and hence up to homeomorphism via the order...
summary:We answer a question of I. Juhasz by showing that MA $+ \neg$ CH does not imply that every c...
An S-space is any topological space which is hereditarily separable but not Lindelof. An L-space, on...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
The paper analyses the category-theoretical structures involved with the notion of continuity in the...
AbstractWe construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose pr...
In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesi...
AbstractUsing the continuum hypothesis, we give a counterexample for the following problem posed by ...
n the paper it is proved that if set theory ZFC is consistent then so is the following ZFC + Martin\...
AbstractThe continuum hypothesis implies that there are (normal) countably paracompact spaces X and ...
Abstract. A continuum X having the property of Kelley is constructed such that neither X[0; 1], nor ...
A characterization of Cp(X), the family of subcontinua of X containing a fixed point of X, when X i...
AbstractBrown, Booth and Tillotson introduced the C-product, or the BBT C-product, for any class C o...
AbstractThe class of spaces such that their product with every Lindelöf space is Lindelöf is not wel...
A topological space X is called an LC-space if every Lindelöf subset of X is closed. In this note w...
AbstractWe define the continuum up to order isomorphism, and hence up to homeomorphism via the order...
summary:We answer a question of I. Juhasz by showing that MA $+ \neg$ CH does not imply that every c...
An S-space is any topological space which is hereditarily separable but not Lindelof. An L-space, on...
A continuum is a connected, compact, metric space. A continuum is decomposable if it is a union of ...
The paper analyses the category-theoretical structures involved with the notion of continuity in the...
AbstractWe construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose pr...