## Journal of the Mathematical Society of Japan

### The category of reduced orbifolds in local charts

Anke D. POHL

#### Abstract

It is well-known that reduced smooth orbifolds and proper effective foliation Lie groupoids form equivalent categories. However, for certain recent lines of research, equivalence of categories is not sufficient. We propose a notion of maps between reduced smooth orbifolds and a definition of a category in terms of marked proper effective étale Lie groupoids such that the arising category of orbifolds is isomorphic (not only equivalent) to this groupoid category.

#### Article information

Source
J. Math. Soc. Japan, Volume 69, Number 2 (2017), 755-800.

Dates
First available in Project Euclid: 20 April 2017

https://projecteuclid.org/euclid.jmsj/1492653646

Digital Object Identifier
doi:10.2969/jmsj/06920755

Mathematical Reviews number (MathSciNet)
MR3638284

Zentralblatt MATH identifier
1381.57016

#### Citation

POHL, Anke D. The category of reduced orbifolds in local charts. J. Math. Soc. Japan 69 (2017), no. 2, 755--800. doi:10.2969/jmsj/06920755. https://projecteuclid.org/euclid.jmsj/1492653646

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