SGA — English Translation › SGA 4 — Topoi and Sites

SGA 4-I — Index of Notations

Translated from the cleaned OCR transcription of the image-only SGA 4-I scan. Several entries in the scanned notation index are badly degraded; uncertain symbols are preserved only as navigation hints.

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Index of Notations

• $a:\hat{C}\to \tilde{C}$ — II 3.4
• $aF$ — II 3.5
• $(B,A,f)$ ($f:A\to B$ a functor) — IV 9.5.1
• $B_G$ — IV 2.3, IV 4.5
• $\tilde{C}$ — II 2.1, II 6.3.3
• $\hat{C}$, ${\hat{C}}_U$ — I 1.2, II 6.3.3, IV 2.6, IV 4.6
• ${\tilde{C}}_A$, ${\tilde{C}}_{ab}$ — II 6.3.3
• $C/F$ — I 3.4.0
• $\mathrm{Cov}(X)$ — II 1.3
• ${\tilde{C}}_U$ — II 3.6
• $A^E$, $A_A^E$, $E_{ab}^E$ ($E$ a topos) — IV 11.1.2
• $E/X$ — IV 5.1
• $\mathrm{Fib}(E)$ — IV 6.2
• $\mathrm{Filt}(E)$ — I 9.12
• $\Gamma (E,X)$, $\Gamma (X)$ — IV 4.3.6
• ${\mathrm{Hom}}_A(M,N)$, $\mathrm{Hom}(M,N)$ — IV 12.1
• ${\mathrm{Hom}}_E(X,Y)$, $\mathrm{Hom}(X,Y)$ — IV 10.2
• $\mathrm{Homtopan}(E,E^{\prime })$, $\mathrm{Homtoplocan}(E,E^{\prime })$ — IV 13.9 c)
• $\mathrm{Homtop}(E,E^{\prime })$ — IV 3.2, IV 3.3
• $h(X)$, $h_U(X)$ — I 1.3
• $i:\tilde{C}\to \hat{C}$ — II 3.4
• $\mathrm{Ind}(C)$, ${\mathrm{Ind}}_U(C)$, ${\mathrm{Ind}}_V(C,U)$ — I 8.2.4.4
• $\stackrel{\sim }{\to }$ — isomorphism
• $j_X^{ab}$, $j_{X!}^{ens}$ — IV 11.3.2
• $J(X)$ — II 1.1
• $j_X:E/X\to E$ — IV 5.2
• $j_{X!}$, $j_X^{\ast }$, $j_{X\ast }$ — III 11.2.2, IV 5.2.2, IV 11.2.2, IV 11.3.1

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• (Karfiness) — IV 9.1.12
• $L$ (functor) — II 3.1
• $\mathrm{Lib}$ (Women’s Liberation) — cf. also I 5.8.2, II 6.5
• ${\underleftarrow{\lim }}_I$ — I 2.1
• ${\underrightarrow{\lim }}_I$ (inductive limit)
• $\mathrm{loc}(f)$ — IV 5.5.2
• $\mathrm{loc}(R)$, $\mathrm{glob}(r)$ — IV 9.8.3 b)
• $M{\otimes }_{A}N$ — IV 12.7
• $\hookrightarrow$ — monomorphism or functor
• $\mathrm{Morsite}(C^{\prime },C)$ — IV 4.9.3
• $\mathrm{Ouv}(X)$ — IV 2.1
• ${\phi }_{\mathrm{top}}$ — IV 4.4
• ${\Phi }_v$, ${\Psi }_v$, ${\Xi }_v$, ${\Lambda }_v$ — IV 10.5
• $\mathrm{Points}(E)$ — IV 4.6.3, IV 6.1
• $\mathrm{Pt}(E)$ — IV 6.1
• $\mathrm{Ptgeom}(E)$ — IV 13.9 f)
• $\mathrm{Pro}(C)$, ${\mathrm{Pro}}_U(C)$, ${\mathrm{Pro}}_V(C,U)$ — I 8.10.2
• $\mathrm{Quot}(U)$, $Q_X$ — IV 9.8.3 a)
• $\mathrm{Res}(h)$ — IV 11.1.4
• $(\mathrm{Topfin})$ — IV 9.1.12
• $\mathrm{Top}(X/r)$ — IV 9.8.3 h)
• $\mathrm{Top}(f)$ — IV 4.9.1, IV 4.1.1
• $\mathrm{Top}(X)$ — IV 4.1, IV 2.1, IV 4.2
• $\mathrm{TOP}(f)$ — IV 4.1.3
• $\mathrm{TOP}(X)$ — IV 2.5, IV 4.1
• $u^{\ast }$ — I 5.0
• $u^{\ast }$, $u_{\ast }$, $u_{!}$ — I 5.1, I 5.9, IV 3
• $u^{-1}$, $u^{\ast }$, $u_{\ast }$ — IV 13.2.3
• $u_s$, $u^s$ — III 1.1.1
• $U$-Ens — I 0
• $U$, $V$ (universes) — I 0, I 11
• $(V\text{-}U\text{-Top})$ — IV 3.3
• $\mathrm{Vois}(p)$ — IV 6.8
• $X_{CU}$ — IV 9.3.2
• $(X^{\prime }/U)$ — IV 5.2