Conditions of angelic type in function spaces

• Barceló , Miguel ^[2] ; Canela , Miguel A. ^[1]
  1. [1] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
  2. [2] Escola Técnica Superior d'Enginyers Industrials de Barcelona
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 30, Nº 1, 1986, págs. 49-57
• Idioma: inglés
• DOI: 10.5565/publmat_30186_05
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• Resumen

  • This paper deals with a class of topological spaces in which ?-compactness and compactness coincide and the tightness of a compact subset is less or equal than ?, a being an infinite cardinal number. This class is a natural extension of the class of strictly angelic spaces, introduced by W . Govaerts . Sufficient conditions are given for a space of continuous functions to belong to this class, and some results on locally convex spaces are obtained as an application.