A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
The Lattice of Closed Congruences on a Topological Lattice

1981
*
Transactions of the American Mathematical Society
*

Our primary objectives are: (1) if L is a lattice endowed with a topology making both the meet and join continuous then (i) the natural map which associates a congruence with the smallest topologically closed congruence containing it preserves finite meets and arbitrary joins; (ii) the lattice of such closed congruences is a complete Brouwerian lattice; (2) if L is a topological (semi) lattice with the unit interval as a (semi) lattice homomorphic image then the lattice of closed (semi) lattice

doi:10.2307/1998361
fatcat:egckcmdnk5dd5blrbmaumgjs6u