ホモトピー型理論

[007X] 記法の一覧

  • -\(\neg P\) → [0058]
  • -\(-1\) (truncation level) → [003X]
  • -\(-2\) (truncation level) → [003X]
  • -\(\mathbf {0}\) → [0030]
  • -\(0\) (自然数) → [002V]
  • -\(0\) (階数) → [000D]
  • -\(\mathbf {1}\) → [000K]
  • -\(A\mathbin {{}_{f}\smash {+}_{g}}B\) → [003R]
  • -\(A(x)\) (前層) → [006F]
  • -\(A+B\) → [002Z]
  • -\(A\to B\) → [000G]
  • -\(A\leftrightarrow B\) → [001T]
  • -\(A\mathrel {\triangleleft \triangleright }B\) → [001J]
  • -\(A\triangleleft B\) → [001J]
  • -\(A\simeq B\) → [000V]
  • -\(A\times B\) → [000M]
  • -\(\mathord {\textnormal {\textsf {BiFun}}}(C_{1},C_{2};D)\) → [006Q]
  • -\(\mathord {\textnormal {\textsf {Cat}}}(i)\) → [005I]
  • -\(\mathord {\textnormal {\textsf {Cocone}}}\) → [007K]
  • -\(\mathord {\textnormal {\textsf {CoconeOver}}}\) → [007O]
  • -\(\mathord {\textnormal {\textsf {Cofiber}}}\) → [007W]
  • -\(\mathord {\textnormal {\textsf {D}}}\) → [0083]
  • -\(F(f)\) (関手を射に適用) → [005L]
  • -\(F(x)\) (関手を対象に適用) → [005L]
  • -\(\mathord {\textnormal {\textsf {Fiber}}}\) → [001P]
  • -\(\mathord {\textnormal {\textsf {Fiber}}}^{\cong }\) → [006Y]
  • -\(\mathord {\textnormal {\textsf {Fun}}}\) → [005K]
  • -\(\mathord {\textnormal {\textsf {Fun}}}^{(\mathord {\textnormal {\textsf {Cat}}})}\) → [0069]
  • -\(\mathord {\textnormal {\textsf {Group}}}(i)\) → [004W]
  • -\(\mathord {\textnormal {\textsf {Hom}}}\) → [006G]
  • -\(\mathord {\textnormal {\textsf {IsBiinv}}}\) → [004J]
  • -\(\mathord {\textnormal {\textsf {IsCart}}}\) (余錐) → [007S]
  • -\(\mathord {\textnormal {\textsf {IsCart}}}\) (スパン) → [007R]
  • -\(\mathord {\textnormal {\textsf {IsCat}}}\) → [005I]
  • -\(\mathord {\textnormal {\textsf {IsConnMap}}}\) → [005V]
  • -\(\mathord {\textnormal {\textsf {IsConnected}}}\) → [005U]
  • -\(\mathord {\textnormal {\textsf {IsContr}}}\) → [000T]
  • -\(\mathord {\textnormal {\textsf {IsEmb}}}\) → [005Y]
  • -\(\mathord {\textnormal {\textsf {IsEquiv}}}\) → [001Q]
  • -\(\mathord {\textnormal {\textsf {IsEssSurj}}}\) → [005O]
  • -\(\mathord {\textnormal {\textsf {IsFF}}}\) → [005O]
  • -\(\mathord {\textnormal {\textsf {IsHAE}}}\) → [004L]
  • -\(\mathord {\textnormal {\textsf {IsIso}}}\) (前圏の同型) → [005M]
  • -\(\mathord {\textnormal {\textsf {IsIso}}}\) → [005E]
  • -\(\mathord {\textnormal {\textsf {IsLocal}}}\) → [0080]
  • -\(\mathord {\textnormal {\textsf {IsProp}}}\) → [0040]
  • -\(\mathord {\textnormal {\textsf {IsRepr}}}\) → [0070]
  • -\(\mathord {\textnormal {\textsf {IsSet}}}\) → [004C]
  • -\(\mathord {\textnormal {\textsf {IsSurj}}}\) → [005Z]
  • -\(\mathord {\textnormal {\textsf {IsTrunc}}}\) → [003Y]
  • -\(\mathord {\textnormal {\textsf {IsTruncMap}}}\) → [005Q]
  • -\(\mathord {\textnormal {\textsf {IsUniversal}}}\) → [007M]
  • -\(\mathord {\textnormal {\textsf {IsWCatEquiv}}}\) → [005O]
  • -\(\mathord {\textnormal {\textsf {LInv}}}\) (前圏) → [005E]
  • -\(\mathord {\textnormal {\textsf {LInv}}}\) → [004J]
  • -\(\mathord {\textnormal {\textsf {Loc}}}\) → [0084]
  • -\(\mathord {\textnormal {\textsf {LocalGen}}}(i)\) → [007Z]
  • -\(\mathord {\textnormal {\textsf {Magma}}}(i)\) → [008B]
  • -\(\mathord {\textnormal {\textsf {Map}}}^{(\mathord {\textnormal {\textsf {Fun}}})}\) → [006S]
  • -\(\mathbb {N}\) → [002V]
  • -\(\mathord {\textnormal {\textsf {NatTrans}}}\) → [0066]
  • -\(\mathord {\textnormal {\textsf {Op}}}\) → [006N]
  • -\(P\land Q\) → [0058]
  • -\(P\Leftrightarrow Q\) → [0058]
  • -\(P\Rightarrow Q\) → [0058]
  • -\(P\lor Q\) → [0058]
  • -\(\prod _{x:A}B\) → [000H]
  • -\(\prod _{\lbrace x:A\rbrace }B\) → [000Q]
  • -\(\mathord {\textnormal {\textsf {PreCat}}}(i)\) → [005C]
  • -\(\mathord {\textnormal {\textsf {Psh}}}\) → [006E]
  • -\(\mathord {\textnormal {\textsf {Psh}}}^{(\mathord {\textnormal {\textsf {Cat}}})}\) → [006K]
  • -\(\mathord {\textnormal {\textsf {QInv}}}\) → [004T]
  • -\(\mathord {\textnormal {\textsf {RInv}}}\) (前圏) → [005E]
  • -\(\mathord {\textnormal {\textsf {RInv}}}\) → [004J]
  • -\(\mathord {\textnormal {\textsf {Record}}}\mathopen {\{ \negmedspace |}x_{1}:A_{1},\dots ,x_{n}:A_{n}\mathclose {|\negmedspace \} }\) → [000O]
  • -\(\mathord {\textnormal {\textsf {ReflGraph}}}(i)\) → [008C]
  • -\(\mathord {\textnormal {\textsf {Retract}}}\) → [001J]
  • -\(\mathord {\textnormal {\textsf {Ring}}}(i)\) → [004Y]
  • -\(\mathbb {S}^{-1}\) → [003M]
  • -\(\mathord {\textnormal {\textsf {Set}}}^{(\mathord {\textnormal {\textsf {Cat}}})}(i)\) → [006H]
  • -\(\sum _{x:A}B\) → [000L]
  • -\(\mathbb {S}^{n}\) → [003M]
  • -\(\mathord {\textnormal {\textsf {Span}}}(i)\) → [007J]
  • -\(\mathord {\textnormal {\textsf {SpanOver}}}\) → [007N]
  • -\(\mathord {\textnormal {\textsf {Susp}}}\) → [007V]
  • -\(\top \) → [0058]
  • -\(\mathord {\textnormal {\textsf {Total}}}\) (余錐) → [007Q]
  • -\(\mathord {\textnormal {\textsf {Total}}}\) (スパン) → [007P]
  • -\(\mathord {\textnormal {\textsf {TruncLevel}}}\) → [003X]
  • -\(\mathcal {U}(i)\) → [000E]
  • -\(\mathcal {U}_{\bullet }(i)\) → [008A]
  • -\(\mathord {\textnormal {\textsf {WLoc}}}\) → [0081]
  • -\(\bot \) → [0058]
  • -\(a\cdot f\) → [006F]
  • -\(a.x\) → [000O]
  • -\(a_{1}=a_{2}\) → [000P]
  • -\(a:A\) → [0088]
  • -\(\alpha \equiv \beta \) → [0086]
  • -\(\alpha [x_{1}\mapsto a_{1},\dots ,x_{n}\mapsto a_{n}]\) → [0087]
  • -\(\mathord {\textnormal {\textsf {ap}}}(f)\) → [001F]
  • -\(\mathord {\textnormal {\textsf {apd}}}\) → [007I]
  • -\(b_{1}=_{p}^{B}b_{2}\) → [003L]
  • -\(\mathord {\textnormal {\textsf {cmp}}}\) → [007L]
  • -\(\mathord {\textnormal {\textsf {codiag}}}\) → [0082]
  • -\(\exists _{x:A}P(x)\) → [0058]
  • -\(\mathord {\textnormal {\textsf {ext}}}\) (弱局所化) → [0081]
  • -\(\mathord {\textnormal {\textsf {ext}}}\) → [001D]
  • -\(f(a)\) (関数適用) → [000H]
  • -\(f(a_{1},\dots ,a_{n})\) (関数適用) → [000J]
  • -\(f(p)\) (関数を同一視に適用) → [001F]
  • -\(\forall _{x:A}P(x)\) → [0058]
  • -\(f\lbrace a\rbrace \) → [000Q]
  • -\(f\sim g\) → [002I]
  • -\(\mathord {\textnormal {\textsf {gen}}}\) (米田) → [006U]
  • -\(\mathord {\textnormal {\textsf {glue}}}\) → [003R]
  • -\(f_{2}\circ f_{1}\) (前層の射) → [006L]
  • -\(f_{2}\circ f_{1}\) (前圏) → [005D]
  • -\(g\circ f\) (関数) → [0011]
  • -\(\mathord {\textnormal {\textsf {id}}}\) (前層の射) → [006L]
  • -\(\mathord {\textnormal {\textsf {id}}}\) (自然変換) → [0067]
  • -\(\mathord {\textnormal {\textsf {id}}}\) (前圏) → [005D]
  • -\(\mathord {\textnormal {\textsf {in}}}\) (弱局所化) → [0081]
  • -\(\mathord {\textnormal {\textsf {in}}}_{1}\) (ファイバー余積) → [003R]
  • -\(\mathord {\textnormal {\textsf {in}}}_{1}\) (余積) → [002Z]
  • -\(\mathord {\textnormal {\textsf {in}}}_{2}\) (ファイバー余積) → [003R]
  • -\(\mathord {\textnormal {\textsf {in}}}_{2}\) (余積) → [002Z]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{+}\) → [002Z]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{\mathbin {{}_{.}\smash {+}_{.}}}\) → [003R]
  • -\(\mathord {\mathord {\textnormal {\textsf {ind}}}_{\mathbin {{}_{.}\smash {+}_{.}}}\mathord {\textnormal {\textsf {-}}}\mathord {\textnormal {\textsf {glue}}}}\) → [003R]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{\mathbf {0}}\) → [0030]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{=}\) → [000P]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{\mathbb {N}}\) → [002V]
  • -\(\mathord {\textnormal {\textsf {ind}}}_{{\| A\| }_{n}}\) → [0050]
  • -\(\mathord {\textnormal {\textsf {is-ext}}}\) (弱局所化) → [0081]
  • -\(\mathord {\langle n\rangle \mathord {\textnormal {\textsf {-Type}}}}(i)\) → [0053]
  • -\({p}^{-1}\) → [001E]
  • -\(\mathord {\textnormal {\textsf {pair}}}\) → [000L]
  • -\(\mathord {\textnormal {\textsf {proj}}}_{1}\) → [000L]
  • -\(\mathord {\textnormal {\textsf {proj}}}_{2}\) → [000L]
  • -\(q\circ p\) (同一視) → [001E]
  • -\(\mathord {\textnormal {\textsf {record}}}\mathopen {\{ \negmedspace |}x_{1}\equiv a_{1},\dots ,x_{n}\equiv a_{n}\mathclose {|\negmedspace \} }\) → [000O]
  • -\(\mathord {\textnormal {\textsf {refl}}}\) → [000P]
  • -\(\mathord {\textnormal {\textsf {succ}}}\) (自然数) → [002V]
  • -\(\mathord {\textnormal {\textsf {succ}}}(i)\) (階数) → [000D]
  • -\(t_{2}\circ t_{1}\) (自然変換) → [0067]
  • -\(\mathord {\textnormal {\textsf {transport}}}\) → [001C]
  • -\(x_{1}\cong x_{2}\) → [005F]
  • -\(\lbrace x:A\mid B(x)\rbrace \) → [004A]
  • -\({|a|}_{n}\) → [0050]
  • -\({\| A\| }_{n}\) → [0050]
  • -\(\lambda (x_{1},\dots ,x_{n}).b\) → [000J]
  • -\(\lambda x.b\) → [000H]
  • -\(\mathord {\star }\) → [000K]
  • -\(\mathord {\textnormal {\textsf {よ}}}\) → [006P]