Covering spaces and irreducible partitions

• Autorzy: D. J. Grubb
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2011
• Tom: 211
• Numer: 1
• Strony: 77-84

Daty

wydano

2011

Twórcy

autor

D. J. Grubb

• Northern Illinois University, DeKalb, IL 60115, U.S.A.

Identyfikatory

DOI

10.4064/fm211-1-4