1. On van Douwen spaces and retracts of βN
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- βN, retracts, two to one map, and Stone-Čech compactification
- Language:
- English
- Description:
- 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 βN. We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of βN expanding on earlier work of Balcar and Błaszczyk (1990) and Simon (1987).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public