Front Matter

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\def\nsg{\unlhd} \def\kval{{k-\mathrm{valued}}} \def\kalg{{k-\mathrm{alg}}} \newcommand\GG[2]{\Gal(#1/#2)} \newcommand{\MF}[3]{\Mat_{#1\times #2}(#3)} \newcommand{\vectwo}[2]{\begin{bmatrix} #1 \\ #2 \end{bmatrix}} \newcommand{\vecthree}[3]{\begin{bmatrix} #1 \\ #2 \\ #3\end{bmatrix}} \def\ob{{\mathfrak{ob}} } \def\qed{\square} \def\sse{\subseteq} \def\ss{\subset} \def\ssne{\subsetneq} \def\sm{\setminus} \def\inv{^{-1}} \newcommand{\es}{\emptyset} \newcommand{\Zm}[1]{\Z/({#1})} \def\ov#1{\overline{#1}} \def\xdots{x_1, \dots, x_n} \def\adots{a_1, \dots, a_n} \def\bdots{b_1, \dots, b_n} \def\udots{u_1, \dots, u_n} \newcommand{\leg}[2]{\left(\frac{{#1}}{{#2}}\right)} \def\th{^{th}} \def\htpy{\simeq_{\mathrm{htpc}}} \def\textand{ \, \text{and} \, } \def\textor{ \, \text{or} \, } \def\textfor{ \, \text{for} \, } \def\textfa{ \, \text{for all} \, } \def\textst{ \, \text{such that} \, } \def\textin{ \, \text{in} \, } \def\fg{ \, \text{finitely generated} \, } \newcommand{\op}{\mathrm{op}} 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Foundations of Advanced Mathematics

Sam Macdonald

Department of Mathematics
Univeristy of Nebraska -- Lincoln

July 28, 2023