J. van Mill

activity

20012026

most citedInfinite powers and Cohen reals

3 citations · 12 across the 17 of their papers we have counts for

collaborators

Showing 2023 · math.GNShow all

4 papers · 2 filters

math.GN2023

Nowhere constant families of maps and resolvability

István Juhász, Jan van Mill

If $X$ is a topological space and $Y$ is any set then we call a family $F$ of maps from $X$ to $Y$ nowhere constant if for every non-empty open set $U$ in $X$ there is $f…

math.GN2023

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…

math.GN2023

Closed copies of $N$ in $R^{ω_{1}}$

Alan Dow, Klaas Pieter Hart, Jan van Mill +1

We investigate closed copies of~ $N$ in powers of~ $R$ with respect to $C^{*}$ - and $C$ -embedding. We show that $R^{ω_{1}}$ contains closed copies of~$\mathbb{…

math.GN2023

On the double density spectra of compact spaces

István Juhász, Jan Van Mill

The set $dd (X)$ of densities of all dense subspaces of a topological space $X$ is called the double density spectrum of $X$ . In this note we present a couple of results that imply…

Nowhere constant families of maps and resolvability

Homogeneous continuous images of smaller weight

Closed copies of N in Rω1​

On the double density spectra of compact spaces

Closed copies of $N$ in $R^{ω_{1}}$