# Notes on restricted inverse limits of categories Academic Article

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### abstract

• We describe the framework for the notion of a restricted inverse limit of categories, with the main motivating example being the category of polynomial representations of the group $GL_{\infty}$. This category is also known as the category of strict polynomial functors of finite degree, and it is the restricted inverse limit of the categories of polynomial representations of $GL_n$. This note is meant to serve as a reference for future work.

### publication date

• January 1, 2015