Hausdorffness of General Compactifications
General Topology
2019-04-04 v1
Abstract
Magill proved that the remainders of two locally compact Hausdorff spaces in their StoneCech compactifications are homeomorphic if and only if the lattices of their Hausdorff compactifications are lattice isomorphic. His construction for compactifications are explicitely discussed through the partitions of their StoneCech compactifications. Partitions in a StoneCech compactification which lead to Hausdorff compactifications are characterized in this article. Embeddings of certain upper semi-lattices of compactifications into lattices of compactifications are constructed.
Cite
@article{arxiv.1904.02009,
title = {Hausdorffness of General Compactifications},
author = {S. Ramkumar and C. Ganesa Moorthy},
journal= {arXiv preprint arXiv:1904.02009},
year = {2019}
}
Comments
5 pages