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On weakening tightness to weak tightness

2019/01/15 by Bella, Angelo, Carlson, Nathan
#54A25 #54B10 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1901.04887

Abstract

The weak tightness wt(X) of a space X was introduced in [11] with the property wt(X)≤ t(X). We investigate several well-known results concerning t(X) and consider whether they extend to the weak tightness setting. First we give an example of a non-sequential compactum X such that wt(X)=ℵ0

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