1Fachbereich Mathematik, Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany 2School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 1-7
For a locally compact group G and its compact space SUB(G) of closed subgroups let μG: G -> SUB(G) denote the function which attaches to an element g of G the closed subgroup generated by it. It is shown that G is totally disconnected if and only if μ is continuous. Several other functions which associate with an element of G in a natural way a closed subgroup of G are discussed with respect to their continuity in totally disconnected locally compact groups.
1
Fachbereich Mathematik, Technische Universität, Schlossgartenstr. 7, 64289 Darmstadt, Germany
2
School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
Karl H. Hofmann; George A. Willis. Continuity Characterizing Totally Disconnected Locally Compact Groups. Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a0/
@article{JOLT_2015_25_1_a0,
author = {Karl H. Hofmann and George A. Willis},
title = {Continuity {Characterizing} {Totally} {Disconnected} {Locally} {Compact} {Groups}},
journal = {Journal of Lie Theory},
pages = {1--7},
year = {2015},
volume = {25},
number = {1},
zbl = {1317.22004},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a0/}
}
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AU - George A. Willis
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