Which topologies can have immediate successors in the lattice of T1-topologies?

• Alas, Ofelia T. ^[1] ; Wilson, Richard G. ^[2]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
  2. [2] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 5, Nº. 2, 2004, págs. 231-242
• Idioma: inglés
• DOI: 10.4995/agt.2004.1972
• Enlaces
  • Texto completo
• Resumen

  • We give a new characterization of those topologies which have an immediate successor or cover in the lattice of T1-topologies on a set and show that certain classes of compact and countably compact topologies do not have covers.

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