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\begin{equation*} \DeclareMathOperator\Coim{Coim} \DeclareMathOperator\Coker{Coker} \DeclareMathOperator\Ext{Ext} \DeclareMathOperator\Hom{Hom} \DeclareMathOperator\Im{Im} \DeclareMathOperator\Ker{Ker} \DeclareMathOperator\Mor{Mor} \DeclareMathOperator\Ob{Ob} \DeclareMathOperator\Sh{Sh} \DeclareMathOperator\SheafExt{\mathcal{E}\mathit{xt}} \DeclareMathOperator\SheafHom{\mathcal{H}\mathit{om}} \DeclareMathOperator\Spec{Spec} \newcommand\colim{\mathop{\mathrm{colim}}\nolimits} \newcommand\lim{\mathop{\mathrm{lim}}\nolimits} \newcommand\Qcoh{\mathit{Qcoh}} \newcommand\Sch{\mathit{Sch}} \newcommand\QCohstack{\mathcal{QC}\!\mathit{oh}} \newcommand\Cohstack{\mathcal{C}\!\mathit{oh}} \newcommand\Spacesstack{\mathcal{S}\!\mathit{paces}} \newcommand\Quotfunctor{\mathrm{Quot}} \newcommand\Hilbfunctor{\mathrm{Hilb}} \newcommand\Curvesstack{\mathcal{C}\!\mathit{urves}} \newcommand\Polarizedstack{\mathcal{P}\!\mathit{olarized}} \newcommand\Complexesstack{\mathcal{C}\!\mathit{omplexes}} \newcommand\Pic{\mathop{\mathrm{Pic}}\nolimits} \newcommand\Picardstack{\mathcal{P}\!\mathit{ic}} \newcommand\Picardfunctor{\mathrm{Pic}} \newcommand\Deformationcategory{\mathcal{D}\!\mathit{ef}} \end{equation*}

On K. F. left comment #11742 on Lemma 32.4.14 in Limits of Schemes

I think there may be a typo in the sentence

“assume we have affine opens such that is affine too.”

Should this be In the next sentence, are defined as the inverse images, and the subsequent notation also uses .


On ylzhang left comment #11741 on Lemma 8.6.11 in Stacks

there is a typo: In condition (3), should be .


On Raj left comment #11740 on Section 4.3 in Categories

Thank you for providing this detailed explanation. The presentation is clear and helpful, especially for readers working through the definitions and examples. I found this section useful as a reference for studying the topic.site\ref{https://textrepeater.tech/}


On Raj left comment #11739 on Section 4.3 in Categories

Thank you for providing this detailed explanation. The presentation is clear and helpful, especially for readers working through the definitions and examples. I found this section useful as a reference for studying the topic.site\ref{https://textrepeater.tech/}


On left comment #11738 on Section 88.15 in Algebraization of Formal Spaces

Thanks for the education, i will bookmarks this note!


On left comment #11737 on Section 88.14 in Algebraization of Formal Spaces

that was long explanation with perfect execution, regards !


On left comment #11736 on Definition 5.19.1 in Topology

Just to set it out with the verb-based terminology (and better have it fixed or discarded for good). To describe the relation , are the following expressions correct?

generalizes (from)

specializes to


On Boran left comment #11735 on Section 96.18 in Sheaves on Algebraic Stacks

Part of the typo Felix mentioned doesn't seem to be fixed.


On left comment #11734 on Lemma 17.17.2 in Sheaves of Modules

To conclude that is exact, don't we need to argue is exact? This follows from Sheaves, Lemma 6.27.2.


On left comment #11733 on Section 5.24 in Topology

RUOUVN chuyên cung cấp các loại \ref{https://ruouvn.com/ruou-vang}


On left comment #11732 on Section 5.24 in Topology

RUOUVN chuyên cung cấp các loại \ref{https://ruouvn.com/ruou-vang}


On Olga left comment #11731 on Section 10.88 in Commutative Algebra

Hello. It seems there is a typo in the proof of Lemma 10.88.9. Must be .


On left comment #11730 on Section 5.24 in Topology

so much idea have it.


On left comment #11729 on Section 16.9 in Smoothing Ring Maps

that was a long journal.


On left comment #11728 on Section 16.8 in Smoothing Ring Maps

that was execelent explanation. now i can understand a little bit.


On left comment #11727 on Section 18.7 in Modules on Sites

got it, thanks!


On left comment #11726 on Section 18.6 in Modules on Sites

wow that was someting new


On left comment #11725 on Item 1

that was i tought, finaly i can understand. thanks


On Esme left comment #11724 on Section 42.19 in Chow Homology and Chern Classes

Surely this should say rational equivalence is the finest adequate equivalence relation, not the coarsest? See Lemma 3.2.2.1 of Andre's Introduction to Motives


On yaar raj left comment #11723 on Section 42.45 in Chow Homology and Chern Classes

The detailed breakdown of the Chern character and polynomials here is highly informative for algorithm logic. While working on complex character formatting and continuous string outputs in web development, I often clean and format my data sequences using https://www.textrepeater.tech/2026/08/Case-converter.html . Really appreciate this open-source reference material!