Topology Proceedings 27 No. 1 (2003), pp. 101-109

Concerning metrizable continua of convergence

D. Daniel and C. T. Kennaugh

We consider compact Hausdorff spaces with the property that each continuum of convergence is metrizable. We first conduct a comprehensive study of this property. We then investigate the relationship of this property to the Hahn-Mazurkiewicz Problem in the class of locally connected continua. In so doing, we find analogues to theorems of J. Cornette, J. Simone, and L. B. Treybig, respectively.

Keywords: continuum of convergence, locally connected continuum, ordered compactum

Mathematics Subject Classification: 54F15 (54C05 54F05 54F50)

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Topology Proceedings, Volume 27 No. 1 (2003)
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