Transitivity of hereditarily metacompact spaces

Authors

  • Hans-Peter A. Künzi University of Cape Town

DOI:

https://doi.org/10.4995/agt.2003.2027

Keywords:

Point-finite quasi-uniformity, Transitive quasi-uniformity, Transitive topological space, β-space, monotonic β-space, Hereditarily metacompact, Choquet game

Abstract

We prove that each regular hereditarily metacompact (monotonic) β-space has the property that the third power of any neighbornet belongs to its point-finite quasi-uniformity.

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Author Biography

Hans-Peter A. Künzi, University of Cape Town

Dept. Math. and Appl. Math.

References

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H.J.K. Junnila, H.P.A. Künzi and S. Watson, On a class of hereditarily paracompact spaces, Topology Proc. 25 Summer (2000), 271-289; Russian translation in: Fundam. Prikl. Mat. 4 (1998), 141-154.

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Published

2003-10-01

How to Cite

[1]
H.-P. A. Künzi, “Transitivity of hereditarily metacompact spaces”, Appl. Gen. Topol., vol. 4, no. 2, pp. 217–221, Oct. 2003.

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