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Introductions
Definitions
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Paths and cylinders
Homotopy groups
Basic facts
Theorems
-theorem
In a category of chain complexes $Ch_\bullet(\mathcal{A})$, the suspension object of a chain complex $C_\bullet$ is the complex
(or sometimes denoted $C[-1]_\bullet$, depending on an unessential choice of sign convention) obtained by shifting the degrees up by one:
with the differential the original one but equipped with a sign:
Generally, for $p \in \mathbb{Z}$, $C[p]$ is the chain complex with
Last revised on November 23, 2013 at 21:09:41. See the history of this page for a list of all contributions to it.