6 papers · 1 filter
-embedding, Lindelöfness, and Čech-completeness
Alan Dow, Klaas Pieter Hart, Jan van Mill +1
We show that in the class of Lindelöf Čech-complete spaces the property of being -embedded is quite well-behaved. It admits a useful characterization that can be used to show th…
Buried points of plane continua
David Lipham, Jan van Mill, Murat Tuncali +2
Sets on the boundary of a complementary component of a continuum in the plane have been of interest since the early 1920's. Curry and Mayer defined the buried points of a plane con…
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…
The double density spectrum of a topological space
Istvan Juhasz, Jan van Mill, Lajos Soukup +1
It is an interesting, maybe surprising, fact that different dense subspaces of even "nice" topological spaces can have different densities. So, our aim here is to investigate the s…
Actions of semitopological groups
Jan van Mill, Vesko Valov
We investigate continuous transitive actions of semitopological groups on spaces, as well as separately continuous transitive actions of topological groups.