Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/17294
Title: | On continuous surjections from Cantor set |
Authors: | Cabello Sánchez, Félix |
Keywords: | Homeomorfismo;Conjunto de Cantor;Homeomorphism;Cantor set |
Issue Date: | 2004 |
Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
Abstract: | It is a famous result of Alexandroff and Urysohn that every compact metric space is a continuous image of Cantor set ∆. In this short note we complement this result by showing that a certain “uniqueness” property holds. Namely, if (K, d) is a compact metric space and f and g are two continuous mappings from ∆ onto K, then, for every ε > 0 there exists a homeomorphism φ of ∆ such that d(g(x), f (φ(x)) < ε for all x∆. |
URI: | http://hdl.handle.net/10662/17294 |
ISSN: | 0213-8743 |
Appears in Collections: | DMATE - Artículos Extracta Mathematicae Vol. 19, nº 3 (2004) |
Files in This Item:
File | Description | Size | Format | |
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2605-5686_19_3_335.pdf | 104,4 kB | Adobe PDF | View/Open | |
2605-5686_19_3_335_Abstract.pdf | 51,89 kB | Adobe PDF | View/Open |
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