A note on an unusual characterization of the pseudo-arc
| Authors |
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| Publication date |
2015
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| Journal |
Topology Proceedings
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| Volume | Issue number |
45
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| Pages (from-to) |
1-4
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
Lewis showed that the pseudo-arc is the unique nondegenerate continuum having the property that any two copies of it that are setwise near each other in terms of the Hausdorff distance are homeomorphically near each other. We present a new proof of this fact based on a well-known result of Bing, standard facts from infinite-dimensional topology and the Effros Theorem.
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| Document type |
Article
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| Language |
English
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| Published at |
http://topology.auburn.edu/tp/reprints/v45/tp45001p1.pdf
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