Spaces for which the diagonal has a closed neighborhood base
An algebraic and logical approach to continuous images
Reflecting Lindelöf and converging ω₁-sequences
We deal with a conjectured dichotomy for compact Hausdorff spaces: each such space contains a non-trivial converging ω-sequence or a non-trivial converging ω₁-sequence. We establish that this dichotomy holds in a variety of models; these include the Cohen models, the random real models and any model obtained from a model of CH by an iteration of property K posets. In fact in these models every compact Hausdorff space without non-trivial converging ω₁-sequences is first-countable and, in addition,...
Čech-Stone remainders of spaces that look like
A Dowker group
On the Maćkowiak-Tymchatyn theorem
Some more -fully normal spaces
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