Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Local connectedness in transformation groups

Author(s): Keith Whittington
Journal: Proc. Amer. Math. Soc. 130 (2002), 903-907.
MSC (2000): Primary 54H15; Secondary 54D05
Posted: July 31, 2001
MathSciNet review: 1866047
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Abstract: This note shows that under very general conditions, in a topological transformation group, the natural map from the group onto an orbit is almost open. The implications for local connectedness are investigated. In particular, if the image of a path component of the group is sufficiently ``robust", the orbit will be locally connected.

References:

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