Geodesic
Measurable cardinals and fundamental groups of compact spaces
Adam Prze/xdziecki1
1Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 192 (2006) no. 1, pp. 87-92
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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 $G=\pi _1K$ may be chosen so that it is path connected.
DOI : 10.4064/fm192-1-6
Keywords: prove groups realized fundamental groups compact spaces only measurable cardinals exist cardinality group nonmeasurable compact space may chosen path connected

Adam Prze/xdziecki  1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Adam Prze/xdziecki. Measurable cardinals and fundamental groups
 of compact spaces. Fundamenta Mathematicae, Tome 192 (2006) no. 1, pp. 87-92. doi: 10.4064/fm192-1-6

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