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Answer by Dan Kneezel for What makes the stable module category stable?
The answer to the first question is yes, the two categories are nontrivially related: Both the traditional stable homotopy category and the stable module category are examples of stable homotopy...
View ArticleAnswer by Ben Wieland for What makes the stable module category stable?
This is how I've always interpreted it, but I've never seen direct evidence. I'll talk about Tate cohomology, which is a fragment of the stable module category.The modern point of view is that...
View ArticleWhat makes the stable module category stable?
When geometrically flavoured words like "mapping cone" or "chain homotopy" crop up in homological algebra, there's usually a good reason. (In this case, looking at the chain complexes associated with...
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