Talk:Chain duality III (Ex)

Revision as of 12:21, 1 June 2012

We check this for objects $<wikitex>; We check this for objects in $\mathbb A$. Let $\phi:TM\to M$ be an element of $M\otimes_{\mathbb A}M$. Then $T_{M,M}\phi=(e_M\circ T\phi: TM\to T^2M\to M$. </wikitex>M\in\mathbb A$.

Let $\varphi:TM\to M$ be an element of $M\otimes_{\mathbb A}M$. %Then $T_{M,M}\varphi=e_M\circ T\varphi: TM\to T^2M\to M$.

We have to check the equality of $T'_{F(M),F(M)}(F (\varphi) \circ G(M))=e'_{F(M)}\circ T'G(M) \circ T'F(\varphi)$ and $F(T_{M,M}\varphi)\circ G(M)=F(e_M)\circ FT\varphi\circ G(M)$.