text/comm_alg.tex
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     1 %!TEX root = ../blob1.tex
     1 %!TEX root = ../blob1.tex
     2 
     2 
     3 \section{Commutative algebras as $n$-categories}
     3 \section{Commutative algebras as $n$-categories}
     4 \label{sec:comm_alg}
     4 \label{sec:comm_alg}
     5 
     5 
     6 \nn{this should probably not be a section by itself.  i'm just trying to write down the outline 
     6 \nn{should consider leaving this out; for now, make it an appendix.}
     7 while it's still fresh in my mind.}
       
     8 
     7 
     9 \nn{also, this section needs a little updating to be compatible with the rest of the paper.}
     8 \nn{also, this section needs a little updating to be compatible with the rest of the paper.}
    10 
     9 
    11 If $C$ is a commutative algebra it
    10 If $C$ is a commutative algebra it
    12 can also be thought of as an $n$-category whose $j$-morphisms are trivial for
    11 can also be thought of as an $n$-category whose $j$-morphisms are trivial for