Geodesic
A Counterexample in the Dimension Theory of Homogeneous Spaces of Locally Compact Groups
Adel A. George Michael1
1Mathematics and Sciences Unit, Dhofar University, P.O. Box 2509, 211 Salalah, Sultanate of Oman
Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 915-917

Voir la notice de l'article provenant de la source Heldermann Verlag

We construct a locally compact group $G$ and a closed subgroup $H$ such that such that the quotient space $G/H$ is connected and has weight $w(G/H)=2^{\aleph_0}$ but fails to contain a cube $\I^{w(G/H)}$ of the same weight. This proves as incorrect an assertion made in Theorem 4.2 of K. H. Hofmann and S. A. Morris: Transitive actions of compact groups and topological dimension, J. of Algebra {\boldface 234} (2000), 454--479.
Classification : 22D05
Mots-clés : Homogeneous spaces of locally compact groups, Tychonoff cube, dimension

Adel A. George Michael  1

1 Mathematics and Sciences Unit, Dhofar University, P.O. Box 2509, 211 Salalah, Sultanate of Oman 
Adel A. George Michael. A Counterexample in the Dimension Theory of Homogeneous Spaces of Locally Compact Groups. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 915-917. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a9/
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     title = {A {Counterexample} in the {Dimension} {Theory} of {Homogeneous} {Spaces} of {Locally} {Compact} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {915--917},
     year = {2008},
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