On continuous surjections from Cantor set.
Extracta Mathematicae (2004)
- Volume: 19, Issue: 3, page 335-337
- ISSN: 0213-8743
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topCabello Sánchez, Félix. "On continuous surjections from Cantor set.." Extracta Mathematicae 19.3 (2004): 335-337. <http://eudml.org/doc/38749>.
@article{CabelloSánchez2004,
abstract = {It is a famous result of Alexandroff and Urysohn that every compact metric space is a continuous image of a 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, the, for every e > 0 there exists a homeomorphism phi of ∆ such that d(g(x), f(phi(x))) < e for all x∆.},
author = {Cabello Sánchez, Félix},
journal = {Extracta Mathematicae},
keywords = {Espacios topológicos; Aplicaciones continuas; Sobreyectividad; Conjuntos de Cantor},
language = {eng},
number = {3},
pages = {335-337},
title = {On continuous surjections from Cantor set.},
url = {http://eudml.org/doc/38749},
volume = {19},
year = {2004},
}
TY - JOUR
AU - Cabello Sánchez, Félix
TI - On continuous surjections from Cantor set.
JO - Extracta Mathematicae
PY - 2004
VL - 19
IS - 3
SP - 335
EP - 337
AB - It is a famous result of Alexandroff and Urysohn that every compact metric space is a continuous image of a 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, the, for every e > 0 there exists a homeomorphism phi of ∆ such that d(g(x), f(phi(x))) < e for all x∆.
LA - eng
KW - Espacios topológicos; Aplicaciones continuas; Sobreyectividad; Conjuntos de Cantor
UR - http://eudml.org/doc/38749
ER -
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