Transactions of the American Mathematical Society

Author(s): Harald Biller
Journal: Trans. Amer. Math. Soc. 355 (2003), 407-432.
MSC (2000): Primary 57S10, 57S20; Secondary 57P05
Posted: September 6, 2002
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Abstract: Essential results about actions of compact Lie groups on connected manifolds are generalized to proper actions of arbitrary groups on connected cohomology manifolds. Slices are replaced by certain fiber bundle structures on orbit neighborhoods. The group dimension is shown to be effectively finite. The orbits of maximal dimension form a dense open connected subset. If some orbit has codimension at most

, then the group is effectively a Lie group.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57S10, 57S20, 57P05

Harald Biller
Affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgarten- straße~7, 64289 Darmstadt, Germany
Email: biller@mathematik.tu-darmstadt.de

DOI: 10.1090/S0002-9947-02-03123-9
PII: S 0002-9947(02)03123-9
Keywords: proper action; cohomology manifold; orbit structure; dimension estimate; slice; Hilbert-Smith conjecture
Received by editor(s): November 30, 2001,
Received by editor(s) in revised form: April 6, 2002
Posted: September 6, 2002
Copyright of article: Copyright 2002, American Mathematical Society

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