\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*}
62 Limits of Algebraic Spaces
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Section 62.1: Introduction
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Section 62.2: Conventions
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Section 62.3: Morphisms of finite presentation
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Section 62.4: Limits of algebraic spaces
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Section 62.5: Descending properties
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Section 62.6: Descending properties of morphisms
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Section 62.7: Descending relative objects
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Section 62.8: Absolute Noetherian approximation
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Section 62.9: Applications
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Section 62.10: Relative approximation
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Section 62.11: Finite type closed in finite presentation
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Section 62.12: Approximating proper morphisms
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Section 62.13: Embedding into affine space
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Section 62.14: Sections with support in a closed subset
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Section 62.15: Characterizing affine spaces
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Section 62.16: Finite cover by a scheme
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Section 62.17: Obtaining schemes
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Section 62.18: Glueing in closed fibres
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Section 62.19: Application to modifications
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Section 62.20: Universally closed morphisms
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Section 62.21: Noetherian valuative criterion
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Section 62.22: Descending finite type spaces