Atlases for Ineffective Orbifolds

Dorette Pronk; Laura Scull; Matteo Tommasini

Atlases for Ineffective Orbifolds

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arxiv 1606.04439 v2 pith:XMUBRC2P submitted 2016-06-14 math.CT math.ATmath.DG

Dorette Pronk , Laura Scull , Matteo Tommasini This is my paper · ORCID

classification math.CTmath.ATmath.DG

keywords atlasesdefinitionineffectiveorbifoldsdefinedgivegroupoidsleads

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We give a definition of atlases for ineffective orbifolds, and prove that this definition leads to the same notion of orbifold as that defined via topological groupoids.

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Cited by 1 Pith paper

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The Equivariant Fundamental Groupoid as an Orbifold Invariant
math.AT 2019-08 conditional novelty 7.0 of 10

A 2-categorical equivariant fundamental groupoid is defined, and its discrete quotient is shown to be Morita invariant for representable orbifolds.

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