- Title
- Continuity characterizing totally disconnected locally compact groups
- Creator
- Hofmann, Karl H.; Willis, George A.
- Relation
- Journal of Lie Theory Vol. 25, Issue 1, p. 1-7
- Relation
- http://www.heldermann.de/JLT/JLT25/JLT251/jlt25001.htm
- Publisher
- Heldermann Verlag
- Resource Type
- journal article
- Date
- 2015
- Description
- 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.
- Subject
- locally compact group; Chabauty space; hyperspace of closed subgroups; continuity; monothetic subgroup
- Identifier
- http://hdl.handle.net/1959.13/1301964
- Identifier
- uon:20382
- Identifier
- ISSN:0949-5932
- Language
- eng
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