Continuity characterizing totally disconnected locally compact groups

Journal of Lie Theory

Volumn 25, Issue 1, 2014, Pages 1-7

  Hofmann, Karl H ^a   Willis, George A ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Chabauty space; Continuity; Hyperspace of closed subgroups; Locally compact group; Monothetic subgroup.

Indexed keywords

EID: 84907719935     PISSN: 09495932     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. Baik, H., and L. Clavier, Introduction to Chabauty topology and Pictures of the Chabauty space of C ,arXiv:1209.0221v2 [math.GT] 11 Sep2013, 9 pp.
2. Bourbaki, N., "Intégration, Chap.7 et 8" Hermann, Paris, 1963.
3. Caprace, P.-E., C. D. Reid, and G. A. Willis, Limits of Contraction Groups and the Tits Core, J. of Lie Theory 24 (2014), 957-967.
4. Chabauty, C., Limite d'ensemble et géométrie des nombres, Bull. Soc. Math. France 78 (1950), 143-151.
5. Hamrouni, H., and B. Kadri, On the Compact Space of Closed Subgroups of Locally Compact Groups, J. of Lie Theory 24 (2014), 715-723.
6. Hofmann. K. H., and A. S. Morris, "The Lie Theory of Connected Pro-Lie Groups" EMS Tracts 2, Eur. Math. Soc. Publishing House, Zurich, 2007.
7. Hofmann. K. H., and A. S. Morris, "The Structure of Compact Groups" 3rd Edition, De Gruyter Studies in Math. 25, Berlin, 2013.
8. Montgomery, D., and L. Zippin, "Topological Transformation Groups" Interscience, New York, 1955.
9. Willis, G. A., The structure of totally disconnected locally compact groups, Math. Ann. 300 (1994), 341-363.
10. Willis, G. A., Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea, Bull. Austral. Math. Soc. 51 (1995), 489-494.