Publicado

2013-07-01

The lattice of ordinable topologies

Palabras clave:

Ordinable element in an ordered set, lattice, ultratopologies. (es)

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Autores/as

  • Nestor Pachón Rubiano Universidad Nacional de Colombia
We demonstrate that the ordinable topologies for a set X are
precisely those that occupy the upper part of the lattice of topologies for X, and that they determine a lattice, not always complete or distributive. We also found the amount of complements, and principal complements, for certain
ordinable topologies, generalizing a known result of P. S. Schnare.

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Pachón Rubiano, N. (2013). The lattice of ordinable topologies. Boletín De Matemáticas, 20(2), 109-123. https://revistas.unal.edu.co/index.php/bolma/article/view/41110