Elementary orbifold differential topology

Joseph E. Borzellino, Victor W. Brunsden

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Taking an elementary and straightforward approach, we develop the concept of a regular value for a smooth map f:O→P between smooth orbifolds O and P. We show that Sard's theorem holds and that the inverse image of a regular value is a smooth full suborbifold of O. We also study some constraints that the existence of a smooth orbifold map imposes on local isotropy groups. As an application, we prove a Borsuk no retraction theorem for compact orbifolds with boundary and some obstructions to the existence of real-valued orbifold maps from local model orbifold charts.

Original languageEnglish (US)
Pages (from-to)3583-3589
Number of pages7
JournalTopology and its Applications
Volume159
Issue number17
DOIs
StatePublished - Nov 1 2012

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Orbifold
Topology
Retraction
Isotropy
Obstruction
Theorem
Chart

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Borzellino, Joseph E. ; Brunsden, Victor W. / Elementary orbifold differential topology. In: Topology and its Applications. 2012 ; Vol. 159, No. 17. pp. 3583-3589.
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Elementary orbifold differential topology. / Borzellino, Joseph E.; Brunsden, Victor W.

In: Topology and its Applications, Vol. 159, No. 17, 01.11.2012, p. 3583-3589.

Research output: Contribution to journalArticle

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