On paracompact spaces and projectively inductively closed functors

Authors

  • T.F. Zhuraev Moscow State University

DOI:

https://doi.org/10.4995/agt.2002.2110

Keywords:

Stratifiable space, Paracompact σ-spaces, Paracompact Σ-spaces, Paracompact p-space, Projectively inductively closed functor

Abstract

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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Author Biography

T.F. Zhuraev, Moscow State University

Department of General Topology and Geometry

Mechanics and Mathematics Faculty

Moscow State University

Vorob'evy Gory, Moscow, 119899 Russia

References

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Published

2002-04-01

How to Cite

[1]
T. Zhuraev, “On paracompact spaces and projectively inductively closed functors”, Appl. Gen. Topol., vol. 3, no. 1, pp. 33–44, Apr. 2002.

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Articles