Transitivity of hereditarily metacompact spaces

Hans-Peter A. Künzi

South Africa

University of Cape Town

Dept. Math. and Appl. Math.
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Accepted: 2013-12-16

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Published: 2003-10-01

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

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

Supporting agencies:

Swiss National Science Foundation (under grant 20-63402.00)

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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References:

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