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

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 
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
@article{10_4064_fm192_1_6,
     author = {Adam Prze/xdziecki},
     title = {Measurable cardinals and fundamental groups
 of compact spaces},
     journal = {Fundamenta Mathematicae},
     pages = {87--92},
     year = {2006},
     volume = {192},
     number = {1},
     doi = {10.4064/fm192-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm192-1-6/}
}
TY  - JOUR
AU  - Adam Prze/xdziecki
TI  - Measurable cardinals and fundamental groups
 of compact spaces
JO  - Fundamenta Mathematicae
PY  - 2006
SP  - 87
EP  - 92
VL  - 192
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm192-1-6/
DO  - 10.4064/fm192-1-6
LA  - en
ID  - 10_4064_fm192_1_6
ER  - 
%0 Journal Article
%A Adam Prze/xdziecki
%T Measurable cardinals and fundamental groups
 of compact spaces
%J Fundamenta Mathematicae
%D 2006
%P 87-92
%V 192
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/fm192-1-6/
%R 10.4064/fm192-1-6
%G en
%F 10_4064_fm192_1_6

Cité par Sources :