J. Mill

activity

20002025

most citedRemarks on hereditarily indecomposable continua

15 citations · 18 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.GN2018

Countable dense homogeneity and $λ$ -sets

Rodrigo Hernández-Gutiérrez, Michael Hrušák, Jan van Mill

We show that all sufficiently nice $λ$ -sets are countable dense homogeneous ( $CDH$ ). From this fact we conclude that for every uncountable cardinal $κ \leq b$ the…

math.GN2018

Homogeneous continua that are not separated by arcs

Jan van Mill, Vesko Valov

We prove that if $X$ is a strongly locally homogeneous and locally compact separable metric space and $G$ is a region in $X$ with $dim G = 2$ , then $G$ is not separated by any arc i…

math.GN2018

Homogeneity and rigidity in Erdős spaces

Klaas Pieter Hart, Jan van Mill

We investigate the homogeneity of topological subspaces of separable Hilbert space, akin to the spaces with all points rational or all points irrational, so-called Erdős spaces. We…

math.GN2018★ 2 cited

On maps preserving connectedness and /or compactness

I. Juhász, J. van Mill

We call a function $f : X \to Y$ $P$ -preserving if, for every subspace $A \subset X$ with property $P$ , its image $f (A)$ also has property $P$ . Of course, all continuous maps are bot…

Countable dense homogeneity and λ-sets

Homogeneous continua that are not separated by arcs

Homogeneity and rigidity in Erdős spaces

On maps preserving connectedness and /or compactness

Countable dense homogeneity and $λ$ -sets