11 citations · 15 across the 3 of their papers we have counts for
3 papers
math.GN2005★ 2 cited
There is no categorical metric continuum
Klaas Pieter Hart
We show there is no categorical metric continuum. This means that for every metric continuum X there is another metric continuum Y such that X and Y have (countable) elementarily e…
math.GN2004★ 11 cited
A note on an example by van Mill
K. P. Hart, G. J. Ridderbos
Improving on an earlier example by J. van Mill, we prove that there exists a zero-dimensional compact space of countable pi-weight and uncountable character which is homogeneous un…
math.GN2003★ 2 cited
Elementarity and dimensions
Klaas Pieter Hart
We give an alternative proof of Fedorchuk's recent result that dim X <= Dg X for compact Hausdorff spaces X. We use the Löwenheim-Skolem theorem to reduce the problem to the metric…