An open mapping theorem for pro-Lie groups

Journal of the Australian Mathematical Society

Volumn 83, Issue 1, 2007, Pages 55-77

  Hofmann, Karl H ^a   Morris, Sidney A ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF BALLARAT   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38349123082     PISSN: 14467887     EISSN: 14468107     Source Type: Journal    
DOI: 10.1017/s1446788700036387     Document Type: Article

References (16)

1. N. Bourbaki, Groupes et algebres de Lie, chapters 2-3 (Hermann, Paris, 1972).
2. _, Topologie générale, chapters 5-10 (Hermann, Paris, 1974).
3. E. Hewitt and K. A. Ross, Abstract Harmonic Analysis. Vol. I Structure of topological groups. Integration theory, group representations (Academic Press, Inc., Publishers, New York, 1963).
4. K. H. Hofmann, 'On a category of topological groups suitable for a structure theory of locally compact groups', Topology Proceedings 26 (2001-2002), 651-665.
5. K. H. Hofmann and S. A. Morris, The Structure of Compact Groups (De Gruyter Berlin, 1998).
6. _, 'Projective limits of finite dimensional Lie groups', Proc. London Math. Soc. 87 (2003), 647-676.
7. _, 'The structure of abelian pro-Lie groups', Math. Z. 248 (2004), 867-891.
8. _, 'Sophus Lie's third fundamental theorem and the adjoint functor theorem', J. Group Theory 8 (2005), 115-133.
9. _, The Lie Theory of Connected Pro-Lie Groups- the Structure of Pro-Lie Algebra, Pro-Lie Groups and Locally Compact Groups (EMS Publishing House, Zurich, 2007).
10. K. H. Hofmann, S. A. Morris and D. Poguntke, 'The exponential function of locally connected compact abelian groups', Forum Math. 16 (2003), 1-16.
11. F. Burton Jones, 'Connected and disconnected plane sets and the functional equation f(x + y) = f (x) + f (y)', Bull. Amer. Math. Soc. 48 (1942), 115-120.
12. Sh. Koshi and M. Takesaki, 'An open mapping theorem on homogeneous spaces', J. Aust. Math. Soc., Ser. A. 53 (1992), 51-54.
13. D. Montgomery and L. Zippin, Topological Transformation Groups (Interscience Publishers, New York, 1955).
14. W. Roelcke and S. Dierolf, Uniform Structures on Topological Groups and their Quotients (McGraw-Hill, New York, 1981).
15. H. Yamabe, 'Generalization of a theorem of Gleason', Ann. of Math. 58 (1953), 351-365.
16. _, 'On the conjecture of Iwasawa and Gleason', Ann. of Math. 58 (1953), 48-54.