Corpus ID: 14908229

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}
}

A. Henriques

Published 2001

Mathematics

arXiv: Geometric Topology

``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 restriction… CONTINUE READING

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