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Also fixed a few references
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aisejohan committed May 15, 2015
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14 changes: 7 additions & 7 deletions spaces-properties.tex
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Expand Up @@ -1082,21 +1082,21 @@ \section{Properties of Spaces defined by properties of schemes}
Here is a list of such properties $P$:
\begin{enumerate}
\item Noetherian, see
More Algebra, Lemma \ref{more-algebra-lemma-Noetherian-etale-extension},
More on Algebra, Lemma \ref{more-algebra-lemma-Noetherian-etale-extension},
\item dimension $d$, see
More Algebra, Lemma \ref{more-algebra-lemma-dimension-etale-extension},
More on Algebra, Lemma \ref{more-algebra-lemma-dimension-etale-extension},
\item regular, see
More Algebra, Lemma \ref{more-algebra-lemma-regular-etale-extension},
More on Algebra, Lemma \ref{more-algebra-lemma-regular-etale-extension},
\item discrete valuation ring, follows from (2), (3), and
Algebra, Lemma \ref{algebra-lemma-characterize-dvr},
\item reduced, see
More Algebra, Lemma \ref{more-algebra-lemma-henselization-reduced},
More on Algebra, Lemma \ref{more-algebra-lemma-henselization-reduced},
\item normal, see
More Algebra, Lemma \ref{more-algebra-lemma-henselization-normal},
More on Algebra, Lemma \ref{more-algebra-lemma-henselization-normal},
\item Noetherian and depth $k$, see
More Algebra, Lemma \ref{more-algebra-lemma-henselization-depth},
More on Algebra, Lemma \ref{more-algebra-lemma-henselization-depth},
\item Noetherian and Cohen-Macaulay, see
More Algebra, Lemma \ref{more-algebra-lemma-henselization-CM},
More on Algebra, Lemma \ref{more-algebra-lemma-henselization-CM},
\end{enumerate}
There are more properties for which this holds, for example G-ring and
Nagata. If we every need these we will add them here
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13 changes: 13 additions & 0 deletions tags/tags
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Expand Up @@ -14239,3 +14239,16 @@
0BBF,decent-spaces-lemma-birational-isomorphism-over-dense-open
0BBG,decent-spaces-lemma-birational-induced-morphism-normalizations
0BBH,decent-spaces-lemma-normalization-normal
0BBI,algebra-lemma-blowup-add-principal
0BBJ,more-algebra-lemma-blowup-module
0BBK,topologies-lemma-no-set-of-fpqc-covers-is-initial
0BBL,spaces-properties-remark-list-properties-local-ring-local-etale-topology
0BBM,spaces-properties-lemma-quotient-separated
0BBN,decent-spaces-lemma-filter-quasi-compact
0BBP,decent-spaces-lemma-decent-space-elementary-etale-neighbourhood
0BBQ,spaces-over-fields-lemma-modification-normal-iso-over-codimension-1
0BBR,resolve-section-normalized-blowups
0BBS,resolve-definition-normalized-blowup
0BBT,resolve-lemma-dominate-by-normalized-blowing-up
0BBU,resolve-lemma-dualizing-rational
0BBV,resolve-lemma-rational-to-gorenstein

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