# Orbispaces and Orbifolds from the Point of View of the Borel Construction, a new Definition

@article{Henriques2001OrbispacesAO, title={Orbispaces and Orbifolds from the Point of View of the Borel Construction, a new Definition}, author={A. Henriques}, journal={arXiv: Geometric Topology}, year={2001} }

``An orbifold is a space which is locally modeled on the quotient of a vector space by a finite group.'' This sentence is so easily said or written that more than one person has missed some of the subtleties hidden by orbifolds. Orbifolds were first introduced by Satake under the name ``V-manifold'' and rediscovered by Thurston who called them ``orbifolds''. Both of them used only faithful actions to define their orbifolds (these are the so called reduced orbifolds). This intuitive restrictionâ€¦Â CONTINUE READING

4 Citations

#### References

SHOWING 1-10 OF 12 REFERENCES

A homotopy Theory of Orbispaces, preprint

- A homotopy Theory of Orbispaces, preprint
- 2001

RuanA new Cohomology Theory of orbifold, preprint

- RuanA new Cohomology Theory of orbifold, preprint
- 2000

Enumeration of Rationnal Curves via Torus Actions, The moduli space of curves

- Progress in Mathematics 129
- 1995

Conplexes of Groups and Orbihedra

- â€śGroup theory from a Geometrical viewpoint, 26 March - 6 Aplril 1990, ICTP, Triesteâ€ť, World Scientific
- 1991

Asterisque

- Asterisque
- 1984

GroupĂ¶Ä±des dâ€™Holonomie et Classifiants

- Asterisque 116
- 1984