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dspivak committed Jul 17, 2024
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1 change: 1 addition & 0 deletions P0-Preface.tex
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%------------ Chapter ------------%
\chapter*{Preface}\label{chapter.0}
\addcontentsline{toc}{chapter}{Preface}

\begin{quote}
The proposal is also intended to [serve] equally as a foundation for the academic, intellectual, and technological, on the one hand, and for the curious, the moral, the erotic, the political, the artistic, and the sheerly obstreperous, on the other.\\
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2 changes: 2 additions & 0 deletions P1-Polynomials.tex
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Expand Up @@ -12,6 +12,8 @@ \part{The category of polynomial functors}\label{part.poly}

%------------ Chapter ------------%
\chapter{Representable functors} \label{ch.poly.rep-sets}
\dnote{Get rid of lozenge}
\dnote{Get rid of ``solution here''}

In this chapter, we lay the categorical groundwork needed to define our category of interest, the category of polynomial functors.
We begin by examining a special kind of polynomial functor that you may already be familiar with---representable functors from the category $\smset$ of sets and functions.%
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2 changes: 1 addition & 1 deletion P2-Comonoids.tex
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Expand Up @@ -8843,7 +8843,7 @@ \subsubsection{Examples of $p$-tree categories}
Hence $\car{t}_{B\yon}\iso B^\nn\yon^\nn$ is the carrier of the category of $B\yon$-trees $\cofree{B\yon}$.
As in \cref{ex.yon_tree_nn}, we identify the set of rooted paths of a given $B\yon$-tree with $\nn$, so that $n\in\nn$ is the $B\yon$-tree's unique length-$n$ rooted path.

In fact, we have already seen the category $\cofree{B\yon}$ once before: it is the category of $B$-streams from \cref{ex.streams_category}.\index{streamss}
In fact, we have already seen the category $\cofree{B\yon}$ once before: it is the category of $B$-streams from \cref{ex.streams_category}.\index{streams}

\begin{itemize}
\item Recall that a $B$-stream is an element of $B^\nn$ interpreted as a countable sequence of elements $b_n\in B$ for $n\in\nn$, written like so:
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