The space of Lelek fans in the Cantor fan is homeomorphic to Hilbert space
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概要
- 論文の詳細を見る
We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metric, is homeomorphic to the separable Hilbert space. This result is a special case of a general theorem we prove about spaces of upper semicontinuous functions on compact metric spaces that are strongly discontinuous.
- 社団法人 日本数学会の論文
- 2010-07-01
著者
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DIJKSTRA Jan
Faculteit der Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit
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Dijkstra Jan
Faculteit Der Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit Amsterdam
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ZHANG Lili
Department of Mathematics and Physics Xi'an Technological University
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Zhang Lili
Department Of Mathematics And Physics Xi'an Technological University
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