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Jan 25, 2010 at 16:46 comment added Hanno Thank you, Mariano! How do you prove that a tensored Frobenius Category is suspended in the sense of your paper, i.e. how do you get the anti-commutativity of the diagram in (1.4)? Is it a special case of (2.1) in some way? If not, one could apply the following: if we have an 3x3-array $(x_{ij})_{0\leq i,j\leq 2}$ of elements in a Frobenius category with arrows lowering the indices such that any column and any row is exact, then the two induced maps $\Omega^2 x_{22}\to\Omega x_{20}\to x_{00}$ and $\Omega^2 x_{22}\to\Omega x_{02}\to x_{00}$ agree up to the sign $-1$.
Jan 25, 2010 at 12:45 history answered Mariano Suárez-Álvarez CC BY-SA 2.5