Displaying similar documents to “Some applications of tiny sequences”

On van Douwen spaces and retracts of β

Alan S. Dow (2007)

Mathematica Bohemica

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Eric van Douwen produced in 1993 a maximal crowded extremally disconnected regular space and showed that its Stone-Čech compactification is an at most two-to-one image of β . We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of β expanding on earlier work of Balcar and Błaszczyk (1990) and Simon (1987).