Vol. 38, No. 3, 1971

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The congruence extension property for compact topological lattices

Albert Robert Stralka

Vol. 38 (1971), No. 3, 795–802
Abstract

Let L be a compact, distributive topological lattice of finite breadth and let A be a closed sublattice of L. It is shown that every closed congruence on A can be extended to a closed congruence on L. An example is provided to show that the requirement of finite breadth cannot be deleted.

Mathematical Subject Classification
Primary: 06A35
Milestones
Received: 26 October 1970
Revised: 9 March 1971
Published: 1 September 1971
Authors
Albert Robert Stralka