Geodesic
Measurable cardinals and fundamental groups of compact spaces
Adam Prze/xdziecki1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Fundamenta Mathematicae, Tome 192 (2006) no. 1, pp. 87-92.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. http://geodesic.mathdoc.fr/articles/10.4064/fm192-1-6/

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