Resolving a question of Arkhangel'skiĭ's

Michael G. Charalambous

Fundamenta Mathematicae (2006)

  • Volume: 192, Issue: 1, page 67-76
  • ISSN: 0016-2736

Abstract

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We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.

How to cite

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Michael G. Charalambous. "Resolving a question of Arkhangel'skiĭ's." Fundamenta Mathematicae 192.1 (2006): 67-76. <http://eudml.org/doc/283226>.

@article{MichaelG2006,
abstract = {We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.},
author = {Michael G. Charalambous},
journal = {Fundamenta Mathematicae},
keywords = {cosmic space; coving dimension; inductive dimension},
language = {eng},
number = {1},
pages = {67-76},
title = {Resolving a question of Arkhangel'skiĭ's},
url = {http://eudml.org/doc/283226},
volume = {192},
year = {2006},
}

TY - JOUR
AU - Michael G. Charalambous
TI - Resolving a question of Arkhangel'skiĭ's
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 1
SP - 67
EP - 76
AB - We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.
LA - eng
KW - cosmic space; coving dimension; inductive dimension
UR - http://eudml.org/doc/283226
ER -

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