Covering the real line with translates of a zero-dimensional compact set
Fundamenta Mathematicae (2011)
- Volume: 213, Issue: 3, page 213-219
- ISSN: 0016-2736
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topAndrás Máthé. "Covering the real line with translates of a zero-dimensional compact set." Fundamenta Mathematicae 213.3 (2011): 213-219. <http://eudml.org/doc/286246>.
@article{AndrásMáthé2011,
abstract = {We construct a compact set C of Hausdorff dimension zero such that cof(𝒩) many translates of C cover the real line. Hence it is consistent with ZFC that less than continuum many translates of a zero-dimensional compact set can cover the real line. This answers a question of Dan Mauldin.},
author = {András Máthé},
journal = {Fundamenta Mathematicae},
keywords = {Hausdorff dimension; consistency; continuum; cover},
language = {eng},
number = {3},
pages = {213-219},
title = {Covering the real line with translates of a zero-dimensional compact set},
url = {http://eudml.org/doc/286246},
volume = {213},
year = {2011},
}
TY - JOUR
AU - András Máthé
TI - Covering the real line with translates of a zero-dimensional compact set
JO - Fundamenta Mathematicae
PY - 2011
VL - 213
IS - 3
SP - 213
EP - 219
AB - We construct a compact set C of Hausdorff dimension zero such that cof(𝒩) many translates of C cover the real line. Hence it is consistent with ZFC that less than continuum many translates of a zero-dimensional compact set can cover the real line. This answers a question of Dan Mauldin.
LA - eng
KW - Hausdorff dimension; consistency; continuum; cover
UR - http://eudml.org/doc/286246
ER -
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