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Potential Error in Article:

I believe it is incorrect the claim that ${\displaystyle \tau _{\leq 0}}$ is a left adjoint to the inclusion ${\displaystyle {\mathcal {D}}^{\leq 0}\hookrightarrow {\mathcal {D}}}$. I believe it is a right adjoint and that ${\displaystyle \tau _{\geq 0}}$ is a left adjoint to the inclusion ${\displaystyle {\mathcal {D}}^{\geq 0}\hookrightarrow {\mathcal {D}}}$.

However, since I am still a student I am not entirely confident and would like someone to confirm this before making any edit. Thank you. Tnorton314 (talk) 05:20, 27 February 2017 (UTC)Reply

13:53, 27 November 2018 (UTC) There's also a problem in the definition of t-structure. The bounded above category should be right (and not left) orthogonal to the bounded below category. — Preceding unsigned comment added by Ptypicalht2 (talk • contribs)

It seems to me that at least in the definition, everything is mixed up: what is denoted with a bigger-or-equal-zero here is usually denoted with a smaller-or-equal-zero and vice versa, see e.g. Higher Algebra 1.2.1.1 178.202.193.209 (talk) 13:26, 10 June 2020 (UTC)Reply