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Orbit projections as fibrations

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Abstract

The orbit projection π: M → M/G of a proper G-manifold M is a fibration if and only if all points in M are regular. Under additional assumptions we show that π is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: π is a G-quasifibration if and only if all points are regular.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, A-1090, Wien, Austria

    Armin Rainer

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  1. Armin Rainer
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Correspondence to Armin Rainer.

Additional information

This work was supported by Fonds zur Förderung der wissenschaftlichen Forschung,Projekt P 17108 N04.

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Rainer, A. Orbit projections as fibrations. Czech Math J 59, 529–538 (2009). https://doi.org/10.1007/s10587-009-0035-1

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  • DOI: https://doi.org/10.1007/s10587-009-0035-1

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