Characterizing maximal compact subgroups

Archiv der Mathematik

Volumn 98, Issue 6, 2012, Pages 555-560

  Antonyan, Sergey A ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Acyclic space; Contractible space; Coset space; G AE; Locally compact almost connected group; Maximal compact subgroup

Indexed keywords

EID: 84862674854     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-012-0389-8     Document Type: Article

References (13)

1. Abels H.: Parallelizability of proper actions, global K-slices and maximal compact subgroups. Math. Ann. 212, 1-19 (1974).
2. S. A. Antonyan Equivariant extension properties of coset spaces of locally compact groups and approximate slices, Topol. Appl., doi: 10. 1016/j. topol. 2011. 10. 019.
3. Antonyan S. A., de Neymet S.: Invariant pseudometrics on Palais proper G-spaces, Acta Math. Hung. 98, 41-51 (2003).
4. Arhangel'skii A., Tkachenko M.: Topological Groups and Related Structures. Atlantis Press/World Scientific, Amsterdam-Paris (2008).
5. G. Bredon Introduction to Compact Transformation Groups, Academic Press, 1972.
6. A. A. George Michael On three classical results about compact groups, Scientiae Mathematicae Japonicae Online, e-2011, no. 24, 271-273.
7. Hoffmann B.: A compact contractible topological group is trivial. Archiv Math. 32, 585-587 (1979).
8. Hofmann K. H., Morris S. A.: The structure of almost connected pro-Lie groups. J. of Lie Theory 21, 347-383 (2011).
9. K. H. Hofmann and P. S. Mostert Elements of compact semigroups Charles E. Marril Books, INC., Columbus, Ohio, 1966.
10. Hofmann K. H., Terp C.: Compact subgroups of Lie groups and locally compact groups. Proc. AMS 120, 623-634 (1994).
11. A. Hatcher Algebraic Topology, Cambridge Univ. Press, 2001.
12. G. Hochschild The structure of Lie groups, Holden-Day Inc., San Francisco, 1965.
13. Palais R.: On the existence of slices for actions of non-compact Lie groups. Ann. of Math. 73, 295-323 (1961).