1. Orbit projections as fibrations
- Creator:
- Rainer, Armin
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- orbit projection, proper $G$-manifold, fibration, and quasifibration
- Language:
- English
- Description:
- The orbit projection $\pi \: M \to M/G$ 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 $\pi $ is a quasifibration if and only if all points are regular. We get a full answer in the equivariant category: $\pi $ is a $G$-quasifibration if and only if all points are regular.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public