Domain Representations Induced by Dyadic Subbases
General Topology
2016-08-08 v5 Logic in Computer Science
Abstract
We study domain representations induced by dyadic subbases and show that a proper dyadic subbase S of a second-countable regular space X induces an embedding of X in the set of minimal limit elements of a subdomain D of . In particular, if X is compact, then X is a retract of the set of limit elements of D.
Cite
@article{arxiv.1401.1393,
title = {Domain Representations Induced by Dyadic Subbases},
author = {Hideki Tsuiki and Yasuyuki Tsukamoyo},
journal= {arXiv preprint arXiv:1401.1393},
year = {2016}
}