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'''stack''' is a concept introduced in [[algebraic geometry]] to generalize [[algebraic varieties]] and [[schemes]]. They were originally proposed by [[David Mumford]] on the compactifications of moduli of curves; such stack is now called a [[Deligne-Mumford stack]]. They were later generalized by [[Michael Artin]] to [[Artin stack]], or sometimes also called[[algebraic stack]]. More generally a ''stack'' is a [[category]] acting like a [[moduli space]] with a ''universal family'' parametrizing a family of mathematical objects such as schemes or [[topological space]]s.
==External links==
* ''[http://www.ams.org/notices/200304/what-is.pdf What is... a Stack?]''
[[Category:Mathematics]]
==External links==
* ''[http://www.ams.org/notices/200304/what-is.pdf What is... a Stack?]''
[[Category:Mathematics]]