# Chain duality III (Ex)

From Manifold Atlas

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− | Let $F | + | Let $F : \Aa \rightarrow \Aa'$ be a functor of additive categories with chain duality. Show that the assignment |

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M \otimes_{\Aa} N \rightarrow F(M) \otimes_{\Aa'} F(N) | M \otimes_{\Aa} N \rightarrow F(M) \otimes_{\Aa'} F(N) |

## Latest revision as of 16:59, 1 June 2012

Let be a functor of additive categories with chain duality. Show that the assignment

given by

induces a -equivariant chain map

for any .