In mathematics, a Γ-object of a pointed category C is a contravariant functor from Γ to C.
The basic example is Segal's so-called Γ-space, which may be thought of as a generalization of simplicial abelian group (or simplicial abelian monoid). More precisely, one can define a Gamma space as an O-monoid object in an infinity-category.[1] The notion plays a role in the generalization of algebraic K-theory that replaces an abelian group by something higher.
Notes
Lurie 2012, Remark 2.4.2.2.
References
J. Lurie, Higher Algebra, last updated August 2017
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License
