Supplement I (Ex)

Let $K \subset \partial \Delta^{m+1}$$<wikitex>; Let $K \subset \partial \Delta^{m+1}$ and define $\Sigma^m$ as in the lecture. Show that if we consider $K' \subset (\Sigma^m)'$ then we have the identification $$ \sigma^{\ast} \cap K' = D(\sigma,K) $$ </wikitex> == References == {{#RefList:}} [[Category:Exercises]] [[Category:Exercises without solution]]K \subset \partial \Delta^{m+1}$ and define $\Sigma^m$$\Sigma^m$ as in the lecture. Show that if we consider $K' \subset (\Sigma^m)'$$K' \subset (\Sigma^m)'$ then we have the identification

$\displaystyle \sigma^{\ast} \cap K' = D(\sigma,K)$ $$\displaystyle \sigma^{\ast} \cap K' = D(\sigma,K)$$