The normal extensions of subgroup topologies
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- by Bradd Clark and Victor Schneider PDF
- Proc. Amer. Math. Soc. 97 (1986), 163-166 Request permission
Abstract:
Let $H$ be a topological group contained in a group $G$. A topology which makes $G$ a topological group inducing the given topology on $H$ is called an extending topology. The set of all extending topologies forms a complete semilattice in the lattice of group topologies on $G$. The structure of this semilattice is studied by considering normal subgroups which intersect $H$ in the identity.References
- Bradd Clark and Victor Schneider, The extending topologies, Internat. J. Math. Math. Sci. 7 (1984), no. 3, 621–623. MR 771611, DOI 10.1155/S0161171284000673
- Bradd E. Clark and Victor P. Schneider, All knot groups are metric, Math. Z. 187 (1984), no. 2, 269–271. MR 753437, DOI 10.1007/BF01161709 E. Hewitt and K. Ross, Abstract harmonic analysis. I, Springer-Verlag, New York, 1963.
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 163-166
- MSC: Primary 22A05
- DOI: https://doi.org/10.1090/S0002-9939-1986-0831407-9
- MathSciNet review: 831407