Year: 2019
Type: article
Abstract: Magill proved that the remainders of two locally compact Hausdorff spaces in their Stone-Čech 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 Stone-Čech compactifications.Partitions in a Stone-Čech 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.
DOI: 10.28924/apjm/6-7
Authors: Ramkumar, S., Moorthy, C. Ganesa
Language: French
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2930656168