Assuming the existence of infinitely many measurable cardinals, a finite lattice is isomorphic to the interval between two T-3 topologies on some set if and only if it is distributive. A characterisation is given for those finite lattices which are isomorphic to the interval between two T-3 topologies on a countable set. (C) 2001 Elsevier Science B.V. All rights reserved.
|Number of pages||13|
|Journal||Topology and its Applications|
|Publication status||Published - 30 Sept 2002|
- measurable cardinal
- lattice of topologies