Unified Functorial Signal Representation I: From Grothendieck fibration to Base structured categories

Salil Samant, Shiv Dutt Joshi

In this paper we study categories $(F,\mathbf{C},\mathbf{D})$ and $(\mathbb{F},\mathbf{C},\mathbf{Set})$ and prove them to be fibred on $\mathbf{C}$. Then we examine Grothendieck c…