Simple topological measures and a lifting problem

Finn 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 -