text/blobdef.tex
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     1 %!TEX root = ../blob1.tex
     1 %!TEX root = ../blob1.tex
     2 
     2 
     3 \section{The blob complex}
     3 \section{The blob complex}
       
     4 \subsection{Definitions}
     4 \label{sec:blob-definition}
     5 \label{sec:blob-definition}
     5 
       
     6 Let $X$ be an $n$-manifold.
     6 Let $X$ be an $n$-manifold.
     7 Let $(\cF,U)$ be a fixed system of fields and local relations.
     7 Let $(\cF,U)$ be a fixed system of fields and local relations.
     8 We'll assume it is enriched over \textbf{Vect}; 
     8 We'll assume it is enriched over \textbf{Vect}; 
     9 if it is not we can make it so by allowing finite
     9 if it is not we can make it so by allowing finite
    10 linear combinations of elements of $\cF(X; c)$, for fixed $c\in \cF(\bd X)$.
    10 linear combinations of elements of $\cF(X; c)$, for fixed $c\in \cF(\bd X)$.