A singular space related to the point-open game

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1987 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 99, pages 568-570 (issn: 0002-9939, eissn: 1088-6826,

Copyright policy )

Authors: Junnila, H. J. K.; Nogura, T.; Telgársky, Rastislav;

doi: 10.1090/s0002-9939-1987-0875399-6 , 10.2307/2046364

A singular space related to the point-open game

- Summary
- Subjects
- Related research
  (3)
- Metrics

Abstract

The authors construct a completely regular space X 0 {X_0} such that Player I has a winning strategy in the point-open game G ( X 0 ) G\left ( {{X_0}} \right ) , but X 0 {X_0} has no σ \sigma -closure-preserving cover by C {\mathbf {C}} -scattered closed sets.

Keywords

\(\sigma \)- closure-preserving cover, point-open game, compact-like space, Noncompact covering properties (paracompact, Lindelöf, etc.), C-scattered closed sets, metacompact space

3 Research products, page 1 of 1

Possible point-open types of subsets of the reals
1991IsAmongTopNSimilarDocuments
Rothberger bounded groups and Ramsey theory
2011IsAmongTopNSimilarDocuments
The point-open type of subsets of the reals
1990IsAmongTopNSimilarDocuments

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average