Chains which are coset spaces of $tl$-groups
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- by Robert L. Madell
- Proc. Amer. Math. Soc. 25 (1970), 755-759
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263716-7
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Abstract:
Let $G$ be a lattice-ordered group with a topology with which $G$ is a Hausdorff topological group and topological lattice. Let $N$ be a closed prime convex $l$-subgroup of $G$ and let $G/N$ denote the topological chain of right cosets of $N$. It is shown that if $G$ is locally compact, locally connected, or locally convex then $G/N$ is either discrete or has precisely the interval topology.References
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Bibliographic Information
- © Copyright 1970 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 25 (1970), 755-759
- MSC: Primary 06.75
- DOI: https://doi.org/10.1090/S0002-9939-1970-0263716-7
- MathSciNet review: 0263716