Hi! Suppose we have a 2-fold covering $\displaystyle p: E \rightarrow B$ and we construct the mapping cylinder $\displaystyle C_p$ of the projection. Why is $\displaystyle E$ the boundary of $\displaystyle C_p$?

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- Dec 14th 2011, 02:19 AMBanachmapping cylinder of covering
Hi! Suppose we have a 2-fold covering $\displaystyle p: E \rightarrow B$ and we construct the mapping cylinder $\displaystyle C_p$ of the projection. Why is $\displaystyle E$ the boundary of $\displaystyle C_p$?

best greetings