41 

    41 

    42 We want the vector space $\bc_1(X)$ to capture 

    42 We want the vector space $\bc_1(X)$ to capture 

    43 ``the space of all local relations that can be imposed on $\bc_0(X)$".

    43 ``the space of all local relations that can be imposed on $\bc_0(X)$".

    44 Thus we say  a $1$-blob diagram consists of:

    44 Thus we say  a $1$-blob diagram consists of:

    45 \begin{itemize}

    45 \begin{itemize}

    47 \item A boundary condition $c \in \cF(\bdy B) = \cF(\bd(X \setmin B))$.

    47 \item A boundary condition $c \in \cF(\bdy B) = \cF(\bd(X \setmin B))$.

    48 \item A field $r \in \cF(X \setmin B; c)$.

    48 \item A field $r \in \cF(X \setmin B; c)$.

    49 \item A local relation field $u \in U(B; c)$.

    49 \item A local relation field $u \in U(B; c)$.

    50 \end{itemize}

    50 \end{itemize}

    51 (See Figure \ref{blob1diagram}.) Since $c$ is implicitly determined by $u$ or $r$, we usually omit it from the notation.

    51 (See Figure \ref{blob1diagram}.) Since $c$ is implicitly determined by $u$ or $r$, we usually omit it from the notation.