An answer to a question of Coleman on scattered sets
General Topology
2007-05-23 v1
Abstract
The aim of this paper is to show that every scattered subset of a dense-in-itself semi--space is nowhere dense. We are thus able to answer a recent question of Coleman in the affirmative. In terms of Digital Topology, we prove that in semi--spaces with no open screen, trace spaces have no consolidations.
Cite
@article{arxiv.math/9810077,
title = {An answer to a question of Coleman on scattered sets},
author = {Julian Dontchev and Maximilian Ganster},
journal= {arXiv preprint arXiv:math/9810077},
year = {2007}
}
Comments
5 pages