The normal extensions of subgroup topologies
Authors: Bradd Clark and Victor Schneider
Journal: Proc. Amer. Math. Soc. 97 (1986), 163-166
MSC: Primary 22A05
MathSciNet review: 831407
Full-text PDF Free Access
Abstract: Let be a topological group contained in a group . A topology which makes a topological group inducing the given topology on is called an extending topology. The set of all extending topologies forms a complete semilattice in the lattice of group topologies on . The structure of this semilattice is studied by considering normal subgroups which intersect in the identity.
-  Bradd Clark and Victor Schneider, The extending topologies, Internat. J. Math. Math. Sci. 7 (1984), no. 3, 621–623. MR 771611, https://doi.org/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, https://doi.org/10.1007/BF01161709
-  E. Hewitt and K. Ross, Abstract harmonic analysis. I, Springer-Verlag, New York, 1963.
- B. Clark and V. Schneider, The extending topologies, Internat. J. Math. Math. Sci. 7 (1984), 621-623. MR 771611 (86e:22002)
- -, All knot groups are metric, Math. Z. 187 (1984), 269-271. MR 753437 (85i:57003)
- E. Hewitt and K. Ross, Abstract harmonic analysis. I, Springer-Verlag, New York, 1963.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 22A05
Retrieve articles in all journals with MSC: 22A05