An explosion point space without the fixed point property |
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| Authors: | Jan J. Dijkstra |
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| Affiliation: | Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
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| Abstract: | ![]()
In 1988 A. Gutek proved that there exist one-point connectifications of hereditarily disconnected spaces that do not have the fixed point property. We improve on this result by constructing a one-point connectification of a totally disconnected space without the fixed point property. |
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| Keywords: | primary, 54H25 secondary, 54D35, 54G20 |
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