15 citations · 18 across the 11 of their papers we have counts for
13 papers
Condensations with extra properties
István Juhász, Jan van Mill, Lajos Soukup
We show that there are locally compact spaces that can be condensed onto separable spaces but not onto compact separable spaces. We also show that for every cardinal there is a…
A universal -group of weight
Jan van Mill
We show that under the Continuum Hypothesis, the topological group of all homeomorphisms of the Čech-Stone remainder of with the -topology, is a universal object for all $…
Some new results on -spaces
I. Juhász, J. van Mill, L. Soukup +1
A topological space is a -space (or ) if for any decreasing sequence of subsets of with empty intersection there is a (decreasing) sequence $\…
Countable tightness is not discretely reflexive in -compact spaces
István Juhász, Jan van Mill
Answering a question raised by V. V. Tkachuk, we present several examples of -compact spaces, some only consistent and some in ZFC, that are not countably tight but in which the…
Countable dense homogeneity and -sets
Rodrigo Hernández-Gutiérrez, Michael Hrušák, Jan van Mill
We show that all sufficiently nice -sets are countable dense homogeneous (). From this fact we conclude that for every uncountable cardinal the…
Homogeneous continua that are not separated by arcs
Jan van Mill, Vesko Valov
We prove that if is a strongly locally homogeneous and locally compact separable metric space and is a region in with , then is not separated by any arc i…