Simple topological measures and a lifting problem

• Autorzy: Finn F. Knudsen
• Języki publikacji: EN

Abstrakty

EN

We state a certain lifting conjecture and prove it in the case of a torus. From this result we are able to construct a connected dense subset of the space of intrinsic simple topological measures on the torus, consisting of push forwards of compactly supported generalized point-measures on the universal covering space. Combining this result with an observation of Johansen and Rustad, we conclude that the space of simple topological measures on a torus is connected.

Kategorie tematyczne

• 28A51: Lifting theory
• 28A25: Integration with respect to measures and other set functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2008
• Tom: 200
• Numer: 3
• Strony: 201-241

Daty

wydano

2008

Twórcy

autor

Finn F. Knudsen

• Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

Identyfikatory

DOI

10.4064/fm200-3-1