# Simple topological measures and a lifting problem

Fundamenta Mathematicae (2008)

- Volume: 200, Issue: 3, page 201-241
- ISSN: 0016-2736

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topFinn F. Knudsen. "Simple topological measures and a lifting problem." Fundamenta Mathematicae 200.3 (2008): 201-241. <http://eudml.org/doc/282857>.

@article{FinnF2008,

abstract = {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.},

author = {Finn F. Knudsen},

journal = {Fundamenta Mathematicae},

keywords = {topological measure; quasi–linear functional; vh–curves; lifting of families of subset; torus},

language = {eng},

number = {3},

pages = {201-241},

title = {Simple topological measures and a lifting problem},

url = {http://eudml.org/doc/282857},

volume = {200},

year = {2008},

}

TY - JOUR

AU - Finn F. Knudsen

TI - Simple topological measures and a lifting problem

JO - Fundamenta Mathematicae

PY - 2008

VL - 200

IS - 3

SP - 201

EP - 241

AB - 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.

LA - eng

KW - topological measure; quasi–linear functional; vh–curves; lifting of families of subset; torus

UR - http://eudml.org/doc/282857

ER -

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