Uniform bases at non-isolated points and maps
General Topology
2011-06-22 v1
Abstract
In this paper, the authors mainly discuss the images of spaces with an uniform base at non-isolated points, and obtain the following main results: (1)\ Perfect maps preserve spaces with an uniform base at non-isolated points; (2)\ Open and closed maps preserve regular spaces with an uniform base at non-isolated points; (3)\ Spaces with an uniform base at non-isolated points don't satisfy the decomposition theorem.
Cite
@article{arxiv.1106.4135,
title = {Uniform bases at non-isolated points and maps},
author = {Fucai Lin and Shou Lin},
journal= {arXiv preprint arXiv:1106.4135},
year = {2011}
}
Comments
9 pages