F-points in countably compact spaces

• Bella, A. ^[1] ; Malykhin, V.I. ^[2]
  1. [1] University of Catania

     University of Catania

     Catania, Italia

     
  2. [2] State University of Management

     State University of Management

     Rusia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 33-37
• Idioma: inglés
• DOI: 10.4995/agt.2001.3013
• Enlaces
  • Texto completo
• Resumen

  • Answering a question of A.V. Arhangel'skii, we show that any extremally disconnected subspace of a compact space with countable tightness is discrete.

• Referencias bibliográficas
  • A. V. Arhangel'skii, Strong disconnectedness properties and remainders in compacti cations, Topology Appl. 107, 1-2 (2000), 3-12. https://doi.org/10.1016/S0166-8641(99)00101-7
  • A. V. Arhangel'skii and A. Bella, Countable fan-tightness versus countable tightness, Comm. Math. Univ. Carolinae 37, 3 (1996), 565-576.
  • A. Bella and V. I. Malykhin, Tightness and resolvability, Comm. Math. Univ. Carolinae 39, 1 (1998), 177-184.
  • E. K. van Dowen, Applications of maximal topologies, Topology Appl. 51 (1993), 125-140. https://doi.org/10.1016/0166-8641(93)90145-4
  • V. I. Malykhin, Countable spaces having no bicompacti cations of countable tightness, Soviet Math. Dokl. 13 (1972), 1407-1411.