Automatic continuity of biseparating maps

Jesús Araujo; Krzysztof Jarosz

Studia Mathematica (2003)

  • Volume: 155, Issue: 3, page 231-239
  • ISSN: 0039-3223

Abstract

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We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.

How to cite

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Jesús Araujo, and Krzysztof Jarosz. "Automatic continuity of biseparating maps." Studia Mathematica 155.3 (2003): 231-239. <http://eudml.org/doc/284680>.

@article{JesúsAraujo2003,
abstract = {We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.},
author = {Jesús Araujo, Krzysztof Jarosz},
journal = {Studia Mathematica},
keywords = {automatic continuity of biseparating maps; realcompact spaces; P-points},
language = {eng},
number = {3},
pages = {231-239},
title = {Automatic continuity of biseparating maps},
url = {http://eudml.org/doc/284680},
volume = {155},
year = {2003},
}

TY - JOUR
AU - Jesús Araujo
AU - Krzysztof Jarosz
TI - Automatic continuity of biseparating maps
JO - Studia Mathematica
PY - 2003
VL - 155
IS - 3
SP - 231
EP - 239
AB - We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
LA - eng
KW - automatic continuity of biseparating maps; realcompact spaces; P-points
UR - http://eudml.org/doc/284680
ER -

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