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Currently displaying 1 – 6 of 6

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A first countable supercompact Hausdorff space with a closed $G_{δ}$ nonsupercompact subspace

Murray G. Bell — 1980

Colloquium Mathematicae

Polyadic spaces of arbitrary compactness numbers

Murray G. Bell — 1985

Commentationes Mathematicae Universitatis Carolinae

The space of complete subgraphs of a graph

Murray G. Bell — 1982

Commentationes Mathematicae Universitatis Carolinae

Not all dyadic spaces are supercompact

Murray G. Bell — 1990

Commentationes Mathematicae Universitatis Carolinae

A compact ccc non-separable space from a Hausdorff gap and Martin's Axiom

Murray G. Bell — 1996

Commentationes Mathematicae Universitatis Carolinae

We answer a question of I. Juhasz by showing that MA $+ \neg$ CH does not imply that every compact ccc space of countable $π$ -character is separable. The space constructed has the additional property that it does not map continuously onto $I^{ω_{1}}$ .

Function spaces on $τ$ -Corson compacta and tightness of polyadic spaces

Murray G. Bell; W. Marciszewski — 2004

Czechoslovak Mathematical Journal

We apply the general theory of $τ$ -Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness $τ$ . In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.

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