Manuscript VII-F-ST@1 · VII-F-ST.tex · section · 9eee7a44

Edges and lengths

Cellulation, exact measures, and the unique event parameter › Edges and lengths · lines 540–556

Persistent finite edges are

e_i=
 \begin{cases}[P,A_i],&s\le0,\\[B_i,A_i],&s>0,\end{cases}
 \quad
 c_i=[A_i,A_{i+1}],\quad
 t_i=[A_i,D_i],\quad
 o_i=[D_i,D_{i+1}].

Born edge labels are

u_{i} = [P, B_{i}], v_{i} = [P, C_{i}], w_{i}^{-} = [B_{i}, C_{i}], w_{i}^{+} = [C_{i}, B_{i + 1}] .

Displayed formulas in this passage

unlabeled · line 543

e_i=
 \begin{cases}[P,A_i],&s\le0,\\[B_i,A_i],&s>0,\end{cases}
 \quad
 c_i=[A_i,A_{i+1}],\quad
 t_i=[A_i,D_i],\quad
 o_i=[D_i,D_{i+1}].

unlabeled · line 552
$u_{i} = [P, B_{i}], v_{i} = [P, C_{i}], w_{i}^{-} = [B_{i}, C_{i}], w_{i}^{+} = [C_{i}, B_{i + 1}] .$