Editing Groupoid (section)

== References ==
* {{citation |title=Über eine Verallgemeinerung des Gruppenbegriffes |journal=Mathematische Annalen |volume=96 |issue=1 |pages=360–366 |year=1927 |doi=10.1007/BF01209171 |first=H |last=Brandt |s2cid=119597988 
}}
* Brown, Ronald, 1987, "[https://groupoids.org.uk/pdffiles/groupoidsurvey.pdf From groups to groupoids: a brief survey]", ''Bull. London Math. Soc.'' '''19''': 113–34. Reviews the history of groupoids up to 1987, starting with the work of Brandt on quadratic forms. The downloadable version updates the many references.
* &mdash;, 2006. ''[http://arquivo.pt/wayback/20160514115224/http://www.bangor.ac.uk/r.brown/topgpds.html Topology and groupoids.]'' Booksurge. Revised and extended edition of a book previously published in 1968 and 1988. Groupoids are introduced in the context of their topological application.
* &mdash;, [https://groupoids.org.uk/hdaweb2.html Higher dimensional group theory.]  Explains how the groupoid concept has led to higher-dimensional homotopy groupoids, having applications in [[homotopy theory]] and in group [[cohomology]]. Many references.
* {{citation |last1=Dicks |first1=Warren  |last2=Ventura |first2=Enric |title=The group fixed by a family of injective endomorphisms of a free group |series=Mathematical Surveys and Monographs |volume=195 |year=1996 |publisher=AMS Bookstore |isbn=978-0-8218-0564-0 }}
* {{cite journal |last1=Dokuchaev |first1=M. |last2=Exel |first2=R. |last3=Piccione |first3=P. |year=2000 |title=Partial Representations and Partial Group Algebras |journal=Journal of Algebra |volume=226 |pages=505–532 |publisher=Elsevier |issn=0021-8693 |doi= 10.1006/jabr.1999.8204|arxiv= math/9903129
|s2cid=14622598 }}
* F. Borceux, G. Janelidze, 2001, ''[https://archive.today/20121223050454/http://www.cup.cam.ac.uk/catalogue/catalogue.asp?isbn=9780521803090 Galois theories.]'' Cambridge Univ. Press. Shows how generalisations of [[Galois theory]] lead to [[Galois groupoid]]s.
* [[Ana Cannas da Silva|Cannas da Silva, A.]], and [[Alan Weinstein|A. Weinstein]], ''[http://www.math.ist.utl.pt/~acannas/Books/models_final.pdf Geometric Models for Noncommutative Algebras.]'' Especially Part VI.
* [[Marty Golubitsky|Golubitsky, M.]], Ian Stewart, 2006, "[https://www.ams.org/bull/2006-43-03/S0273-0979-06-01108-6/S0273-0979-06-01108-6.pdf Nonlinear dynamics of networks: the groupoid formalism]", ''Bull. Amer. Math. Soc.'' '''43''': 305–64
* {{springer|title=Groupoid|id=p/g045360}}
* Higgins, P. J., "The fundamental groupoid of a [[graph of groups]]", J. London Math. Soc. (2) 13 (1976) 145–149.
* Higgins, P. J. and Taylor, J., "The fundamental groupoid and the homotopy crossed complex of   an [[orbit space]]",  in Category theory (Gummersbach, 1981), Lecture Notes   in Math., Volume 962. Springer, Berlin (1982), 115–122.
*Higgins, P. J., 1971.  ''Categories and groupoids''. Van Nostrand Notes in Mathematics. Republished in ''Reprints in Theory and Applications of Categories'', No. 7 (2005) pp.&nbsp;1–195; [http://www.tac.mta.ca/tac/reprints/articles/7/tr7abs.html freely downloadable]. Substantial introduction to [[category theory]] with special emphasis on groupoids. Presents applications of groupoids in group theory, for example to a generalisation of [[Grushko's theorem]], and in topology, e.g. [[fundamental groupoid]].
* Mackenzie, K. C. H., 2005. ''[https://web.archive.org/web/20050310034123/http://www.shef.ac.uk/~pm1kchm/gt.html General theory of Lie groupoids and Lie algebroids]''. Cambridge Univ. Press.
* Weinstein, Alan, "[https://www.ams.org/notices/199607/weinstein.pdf Groupoids: unifying internal and external symmetry &ndash; A tour through some examples]". Also available in [http://math.berkeley.edu/~alanw/Groupoids.ps Postscript], Notices of the AMS, July 1996, pp.&nbsp;744–752.
* Weinstein, Alan, "[https://arxiv.org/abs/math/0208108 The Geometry of Momentum]" (2002)
* R.T. Zivaljevic. "Groupoids in combinatorics&mdash;applications of a theory of local symmetries". In ''Algebraic and geometric combinatorics'', volume 423 of  ''Contemp. Math''., 305–324.  Amer. Math. Soc., Providence, RI (2006)
* {{nlab|id=fundamental+groupoid|title=fundamental groupoid}}
* {{nlab|id=core|title=core}}

[[Category:Algebraic structures]]
[[Category:Category theory]]
[[Category:Homotopy theory]]