Characterizations of paracompact-like properties by means of set-valued semi-continuous selections
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Abstract:
We give a characterization of countably paracompact and collectionwise normal spaces by means of set-valued semi-continuous selections. This provides a positive answer to a problem of V. Gutev.References
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Additional Information
- Kazumi Miyazaki
- Affiliation: Department of Mathematical Sciences, Faculty of Sciences, Ehime University, Matsuyama 790-8577, Japan
- Email: BZQ22206@nifty.ne.jp
- Received by editor(s): May 12, 1999
- Received by editor(s) in revised form: December 12, 1999
- Published electronically: April 24, 2001
- Communicated by: Alan Dow
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2777-2782
- MSC (2000): Primary 54B20, 54C65
- DOI: https://doi.org/10.1090/S0002-9939-01-06204-9
- MathSciNet review: 1838802