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Homogeneous spaces and transitive actions by analytic groups
Author(s) -
van Mill Jan
Publication year - 2007
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdm018
Subject(s) - mathematics , metrization theorem , homogeneous , transitive relation , separable space , group (periodic table) , space (punctuation) , homogeneous space , pure mathematics , combinatorics , mathematical analysis , computer science , chemistry , geometry , organic chemistry , operating system
If X is homogeneous, analytic, and strongly locally homogeneous, then there is an analytic group acting transitively on X . There is an example of an analytic space on which some separable metrizable group acts transitively, but on which no analytic group acts transitively.