Transitivity of hereditarily metacompact spaces

Hans-Peter A. Künzi

doi:10.4995/agt.2003.2027

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.

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