Abstract
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.
Original language | English |
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Pages (from-to) | 429-441 |
Number of pages | 13 |
Journal | Topology and its Applications |
Volume | 123 |
Issue number | 3 |
DOIs | |
Publication status | Published - 30 Sept 2002 |
Keywords
- measurable cardinal
- lattice of topologies