Measurable cardinals and fundamental groups of compact spaces

Adam Przeździecki. "Measurable cardinals and fundamental groups of compact spaces." Fundamenta Mathematicae 192.1 (2006): 87-92. <http://eudml.org/doc/283151>.

@article{AdamPrzeździecki2006,
abstract = {We prove that all groups can be realized as fundamental groups of compact spaces if and only if no measurable cardinals exist. If the cardinality of a group G is nonmeasurable then the compact space K such that G = π₁K may be chosen so that it is path connected.},
author = {Adam Przeździecki},
journal = {Fundamenta Mathematicae},
keywords = {measurable cardinal; fundamental group},
language = {eng},
number = {1},
pages = {87-92},
title = {Measurable cardinals and fundamental groups of compact spaces},
url = {http://eudml.org/doc/283151},
volume = {192},
year = {2006},
}

TY - JOUR
AU - Adam Przeździecki
TI - Measurable cardinals and fundamental groups of compact spaces
JO - Fundamenta Mathematicae
PY - 2006
VL - 192
IS - 1
SP - 87
EP - 92
AB - We prove that all groups can be realized as fundamental groups of compact spaces if and only if no measurable cardinals exist. If the cardinality of a group G is nonmeasurable then the compact space K such that G = π₁K may be chosen so that it is path connected.
LA - eng
KW - measurable cardinal; fundamental group
UR - http://eudml.org/doc/283151
ER -