Geodesic
Simple topological measures and a lifting problem
Finn F. Knudsen1
1 Department of Mathematical Sciences Norwegian University of Science and Technology NO-7491 Trondheim, Norway
Fundamenta Mathematicae, Tome 200 (2008) no. 3, pp. 201-241

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

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.
DOI : 10.4064/fm200-3-1
Keywords: state certain lifting conjecture prove torus result able construct connected dense subset space intrinsic simple topological measures torus consisting push forwards compactly supported generalized point measures universal covering space combining result observation johansen rustad conclude space simple topological measures torus connected

Finn F. Knudsen 1

1 Department of Mathematical Sciences Norwegian University of Science and Technology NO-7491 Trondheim, Norway 
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Finn F. Knudsen. Simple topological measures and a lifting problem. Fundamenta Mathematicae, Tome 200 (2008) no. 3, pp. 201-241. doi: 10.4064/fm200-3-1

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