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$t$-structure is a structure imposed on triangulated categories, first introduced in Beilinson, Bernstein, Deligne's "Faisceaux Pervers".

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Monoidality of truncation of spectra

A number of statements equivalent to preservation of $E_n$-algebras under truncation are given in a paper I wrote with Michael Batanin called "Bousfield Localization and Eilenberg-Moore Categories". T …
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