Abstract
We prove a conjecture of Reinhold: that a finite lattice is isomorphic to an interval in the lattice of topologies on some set if and only if it is isomorphic to an interval in the lattice of topologies on a finite set.
Original language | English |
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Pages (from-to) | 325-335 |
Number of pages | 11 |
Journal | Order |
Volume | 31 |
Issue number | 3 |
Early online date | 20 Sept 2014 |
DOIs | |
Publication status | Published - Nov 2014 |
Keywords
- Finite intervals of topologies
- Finite topologies
- Lattice of topologies
- Quasiorders
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
- Computational Theory and Mathematics