Chain duality III (Ex)
(Difference between revisions)
Line 6: | Line 6: | ||
given by | given by | ||
$$ | $$ | ||
− | \varphi \colon TM \rightarrow N \quad \mapsto \quad | + | \varphi \colon TM \rightarrow N \quad \mapsto \quad F (\varphi) \circ G(M) \colon T' F (M) \rightarrow FT(M) \rightarrow F(N) |
$$ | $$ | ||
induces a $\Zz_2$-equivariant chain map | induces a $\Zz_2$-equivariant chain map |
Revision as of 12:05, 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 .