# HG changeset patch # User Scott Morrison # Date 1284575594 18000 # Node ID 07b79f81c956d46b4077495af6d3101906a45955 # Parent 2b1d52c41ac5694ab7b86c35914120dfb4e5c54c numbering axioms and module axioms as 7.x diff -r 2b1d52c41ac5 -r 07b79f81c956 preamble.tex --- a/preamble.tex Wed Sep 15 13:30:15 2010 -0500 +++ b/preamble.tex Wed Sep 15 13:33:14 2010 -0500 @@ -62,8 +62,8 @@ \newtheorem*{defn*}{Definition} % unnumbered definition \newtheorem{question}{Question} \newtheorem{property}{Property} -\newtheorem{axiom}{Axiom} -\newtheorem{module-axiom}{Module Axiom} +\newtheorem{axiom}{Axiom}[section] +\newtheorem{module-axiom}{Module Axiom}[section] \newenvironment{rem}{\noindent\textsl{Remark.}}{} % perhaps looks better than rem above? \newtheorem{rem*}[prop]{Remark} \newtheorem{remark}[prop]{Remark} diff -r 2b1d52c41ac5 -r 07b79f81c956 text/ncat.tex --- a/text/ncat.tex Wed Sep 15 13:30:15 2010 -0500 +++ b/text/ncat.tex Wed Sep 15 13:33:14 2010 -0500 @@ -1093,8 +1093,7 @@ \end{itemize} In other words, we have a zig-zag of equivalences starting at $a$ and ending at $\hat{a}$. The idea of the proof is to produce a similar zig-zag where everything antirefines to the same -disjoint union of balls, and then invoke the associativity axiom \ref{nca-assoc}. -\nn{hmmm... it would be nicer if this were ``7.xx" instead of ``4"} +disjoint union of balls, and then invoke Axiom \ref{nca-assoc} which ensures associativity. Let $z$ be a decomposition of $W$ which is in general position with respect to all of the $x_i$'s and $v_i$'s.