Lattices of Hausdorff compactifications of a locally compact space

V. Kannan and Thekkedath Thrivikraman

Vol. 57 (1975), No. 2, 441–444

DOI: 10.2140/pjm.1975.57.441

Abstract

This paper gives a lattice theoretic characterization of (complete) lattices which are lattices of Hausdorff compactifications of locally compact spaces. This is accomplished via a characterization of the lattices of closed equivalence relations on T₁ spaces.

Mathematical Subject Classification 2000

Primary: 54D35

Milestones

Received: 16 July 1973

Revised: 30 April 1974

Published: 1 April 1975