The homology of spaces of simple topological measures

Ø. Johansen, and A. B. Rustad. "The homology of spaces of simple topological measures." Fundamenta Mathematicae 177.1 (2003): 19-43. <http://eudml.org/doc/282843>.

@article{Ø2003,
abstract = {The simple topological measures X* on a q-space X are shown to be a superextension of X. Properties inherited from superextensions to topological measures are presented. The homology groups of various subsets of X* are calculated. For a q-space X, X* is shown to be a q-space. The homology of X* when X is the annulus is calculated. The homology of X* when X is a more general genus one space is investigated. In particular, X* for the torus is shown to have a retract homeomorphic to an infinite product of circles.},
author = {Ø. Johansen, A. B. Rustad},
journal = {Fundamenta Mathematicae},
keywords = {topological measures; superextension; retract; q-space; compact Hausdorff space; spaces with genus zero; homology},
language = {eng},
number = {1},
pages = {19-43},
title = {The homology of spaces of simple topological measures},
url = {http://eudml.org/doc/282843},
volume = {177},
year = {2003},
}

TY - JOUR
AU - Ø. Johansen
AU - A. B. Rustad
TI - The homology of spaces of simple topological measures
JO - Fundamenta Mathematicae
PY - 2003
VL - 177
IS - 1
SP - 19
EP - 43
AB - The simple topological measures X* on a q-space X are shown to be a superextension of X. Properties inherited from superextensions to topological measures are presented. The homology groups of various subsets of X* are calculated. For a q-space X, X* is shown to be a q-space. The homology of X* when X is the annulus is calculated. The homology of X* when X is a more general genus one space is investigated. In particular, X* for the torus is shown to have a retract homeomorphic to an infinite product of circles.
LA - eng
KW - topological measures; superextension; retract; q-space; compact Hausdorff space; spaces with genus zero; homology
UR - http://eudml.org/doc/282843
ER -