Compact spaces that do not map onto finite products

Antonio Avilés

Fundamenta Mathematicae (2009)

  • Volume: 202, Issue: 1, page 81-96
  • ISSN: 0016-2736

Abstract

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We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number of nonseparable factors.

How to cite

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Antonio Avilés. "Compact spaces that do not map onto finite products." Fundamenta Mathematicae 202.1 (2009): 81-96. <http://eudml.org/doc/283197>.

@article{AntonioAvilés2009,
abstract = {We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number of nonseparable factors.},
author = {Antonio Avilés},
journal = {Fundamenta Mathematicae},
keywords = {finite product; Knaster condition; chain conditions; linearly ordered compact; ball of the Hilbert space; Euclidean ball},
language = {eng},
number = {1},
pages = {81-96},
title = {Compact spaces that do not map onto finite products},
url = {http://eudml.org/doc/283197},
volume = {202},
year = {2009},
}

TY - JOUR
AU - Antonio Avilés
TI - Compact spaces that do not map onto finite products
JO - Fundamenta Mathematicae
PY - 2009
VL - 202
IS - 1
SP - 81
EP - 96
AB - We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number of nonseparable factors.
LA - eng
KW - finite product; Knaster condition; chain conditions; linearly ordered compact; ball of the Hilbert space; Euclidean ball
UR - http://eudml.org/doc/283197
ER -

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