text/evmap.tex
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    96 
    96 
    97 For simplicity we will assume that all fields are splittable into small pieces, so that
    97 For simplicity we will assume that all fields are splittable into small pieces, so that
    98 $\sbc_0(X) = \bc_0(X)$.
    98 $\sbc_0(X) = \bc_0(X)$.
    99 (This is true for all of the examples presented in this paper.)
    99 (This is true for all of the examples presented in this paper.)
   100 Accordingly, we define $h_0 = 0$.
   100 Accordingly, we define $h_0 = 0$.
       
   101 \nn{Since we now have an axiom providing this, we should use it. (At present, the axiom is only for morphisms, not fields.)}
   101 
   102 
   102 Next we define $h_1$.
   103 Next we define $h_1$.
   103 Let $b\in C_1$ be a 1-blob diagram.
   104 Let $b\in C_1$ be a 1-blob diagram.
   104 Let $B$ be the blob of $b$.
   105 Let $B$ be the blob of $b$.
   105 We will construct a 1-chain $s(b)\in \sbc_1(X)$ such that $\bd(s(b)) = \bd b$
   106 We will construct a 1-chain $s(b)\in \sbc_1(X)$ such that $\bd(s(b)) = \bd b$