Geodesic
Covering spaces and irreducible partitions
D. J. Grubb1
1 Northern Illinois University DeKalb, IL 60115, U.S.A.
Fundamenta Mathematicae, Tome 211 (2011) no. 1, pp. 77-84.

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

An irreducible partition of a space is a partition of that space into solid sets with a certain minimality property. Previously, these partitions were studied using the cup product in cohomology. This paper obtains similar results using the fundamental group instead. This allows the use of covering spaces to obtain information about irreducible partitions. This is then used to generalize Knudsen's construction of topological measures on the torus. We give examples of such measures that are invariant under Hamiltonian flows on certain symplectic manifolds.
DOI : 10.4064/fm211-1-4
Keywords: irreducible partition space partition space solid sets certain minimality property previously these partitions studied using cup product cohomology paper obtains similar results using fundamental group instead allows covering spaces obtain information about irreducible partitions generalize knudsens construction topological measures torus examples measures invariant under hamiltonian flows certain symplectic manifolds

D. J. Grubb 1

1 Northern Illinois University DeKalb, IL 60115, U.S.A. 
@article{10_4064_fm211_1_4,
     author = {D. J. Grubb},
     title = {Covering spaces and irreducible partitions},
     journal = {Fundamenta Mathematicae},
     pages = {77--84},
     publisher = {mathdoc},
     volume = {211},
     number = {1},
     year = {2011},
     doi = {10.4064/fm211-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm211-1-4/}
}
TY  - JOUR
AU  - D. J. Grubb
TI  - Covering spaces and irreducible partitions
JO  - Fundamenta Mathematicae
PY  - 2011
SP  - 77
EP  - 84
VL  - 211
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm211-1-4/
DO  - 10.4064/fm211-1-4
LA  - en
ID  - 10_4064_fm211_1_4
ER  - 
%0 Journal Article
%A D. J. Grubb
%T Covering spaces and irreducible partitions
%J Fundamenta Mathematicae
%D 2011
%P 77-84
%V 211
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm211-1-4/
%R 10.4064/fm211-1-4
%G en
%F 10_4064_fm211_1_4
D. J. Grubb. Covering spaces and irreducible partitions. Fundamenta Mathematicae, Tome 211 (2011) no. 1, pp. 77-84. doi : 10.4064/fm211-1-4. http://geodesic.mathdoc.fr/articles/10.4064/fm211-1-4/

Cité par Sources :