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Results tagged with triangulated-categories
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user 11546
A triangulated category is an additive category equipped with the additional structure of an autoequivalence (called the translation functor) and a class of of triangles satisfying certain axioms.
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Is the stable homotopy category idempotent complete?
Is the stable homotopy category idempotent complete? I have not been able to prove it, and the proof for abelian groups seems to strongly rely on looking at elements.
Thanks,
Jon
- 10.5k
2
votes
1
answer
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Generators of Thick Subcategories
Suppose we are given a thick subcategory of the compact objects in the homotopy category of modules over a ring spectrum $R$. Are there conditions we can place on $R$, or on the category (compact) $R …
- 10.5k
3
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answers
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Right Notion of Localizing Subcategory in Quasicategory
Given a stable quasicategory $C$, what are the conditions required of a subcategory for it to descend to a localizing subcategory in $Ho(C)$? Is it enough for it to be reflective? Perhaps exact and re …
- 10.5k