11 citations · 15 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
An Algebraic and Logical approach to continuous images
Klaas Pieter Hart
Continuous mappings between compact Hausdorff spaces can be studied using homomorphisms between algebraic structures (lattices, Boolean algebras) associated with the spaces. This g…
Remarks on hereditarily indecomposable continua
Klaas Pieter Hart, Jan van Mill, Roman Pol
We recall a characterization of hereditary indecomposability originally obtained by Krasinkiewicz and Minc, and show how it may be used to give unified constructions of various her…
Hereditary indecomposability and the Intermediate Value Theorem
Alan Dow, Klaas Pieter Hart
We show that hereditarily indecomposable spaces can be characterized by a special instance of the Intermediate Value Theorem in their rings of continuous functions.