On paracompact spaces and projectively inductively closed functors

• Zhuraev, T.F. ^[1]
  1. [1] Moscow State University

     Moscow State University

     Rusia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 3, Nº. 1, 2002, págs. 33-44
• Idioma: inglés
• DOI: 10.4995/agt.2002.2110
• Enlaces
  • Texto completo
• Resumen

  • In this paper we introduce a notion of projectively inductively closed functor (p.i.c.-functor). We give sufficient conditions for a functor to be a p.i.c.-functor. In particular, any finitary normal functor is a p.i.c.-functor. We prove that every preserving weight p.i.c.- functor of a finite degree preserves the class of stratifiable spaces and the class of paracompact -spaces. The same is true (even if we omit a preservation of weight) for paracompact -spaces and paracompact p-spaces.

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