3 citations · 12 across the 17 of their papers we have counts for
5 papers · 1 filter
Nowhere constant families of maps and resolvability
István Juhász, Jan van Mill
If is a topological space and is any set then we call a family of maps from to nowhere constant if for every non-empty open set in there is $f…
Homogeneous continuous images of smaller weight
István Juhász, Jan van Mill
We show that every infinite crowded space can be mapped onto a homogeneous space of countable weight, and that there is a homogeneous space of weight continuum that cannot be mappe…
On Shehtman's Two Problems
Guram Bezhanishvili, Nick Bezhanishvili, Joel Lucero-Bryan +1
We provide partial solutions to two problems posed by Shehtman concerning the modal logic of the Čech-Stone compactification of an ordinal space. We use the Continuum Hypothesis to…
Closed copies of in
Alan Dow, Klaas Pieter Hart, Jan van Mill +1
We investigate closed copies of~ in powers of~ with respect to - and -embedding. We show that contains closed copies of~$\mathbb{…
On the double density spectra of compact spaces
István Juhász, Jan Van Mill
The set of densities of all dense subspaces of a topological space is called the double density spectrum of . In this note we present a couple of results that imply…