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Studia Scientiarum Mathematicarum Hungarica
Author:
Guit-Jan Ridderbos
We show that the cardinality of power homogeneous T 5 compacta X is bounded by 2 c ( X ) . This answers a question of J. van Mill, who proved this bound for homogeneous T 5 compacta. We further extend some results of I. Juhász, P. Nyikos and Z. Szentmiklóssy and as a corollary we prove that consistently every power homogeneous T 5 compactum is first countable. This improves a theorem of R. de la Vega who proved this consistency result for homogeneous T 5 compacta.
