topology.category.Top.adjunctions
⟷
Mathlib.Topology.Category.TopCat.Adjunctions
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -3,7 +3,7 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-/
-import Topology.Category.Top.Basic
+import Topology.Category.TopCat.Basic
import CategoryTheory.Adjunction.Basic
#align_import topology.category.Top.adjunctions from "leanprover-community/mathlib"@"814d76e2247d5ba8bc024843552da1278bfe9e5c"
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-/
-import Mathbin.Topology.Category.Top.Basic
-import Mathbin.CategoryTheory.Adjunction.Basic
+import Topology.Category.Top.Basic
+import CategoryTheory.Adjunction.Basic
#align_import topology.category.Top.adjunctions from "leanprover-community/mathlib"@"814d76e2247d5ba8bc024843552da1278bfe9e5c"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-
-! This file was ported from Lean 3 source module topology.category.Top.adjunctions
-! leanprover-community/mathlib commit 814d76e2247d5ba8bc024843552da1278bfe9e5c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Topology.Category.Top.Basic
import Mathbin.CategoryTheory.Adjunction.Basic
+#align_import topology.category.Top.adjunctions from "leanprover-community/mathlib"@"814d76e2247d5ba8bc024843552da1278bfe9e5c"
+
/-!
# Adjunctions regarding the category of topological spaces
mathlib commit https://github.com/leanprover-community/mathlib/commit/347636a7a80595d55bedf6e6fbd996a3c39da69a
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
! This file was ported from Lean 3 source module topology.category.Top.adjunctions
-! leanprover-community/mathlib commit f7baecbb54bd0f24f228576f97b1752fc3c9b318
+! leanprover-community/mathlib commit 814d76e2247d5ba8bc024843552da1278bfe9e5c
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.Adjunction.Basic
/-!
# Adjunctions regarding the category of topological spaces
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This file shows that the forgetful functor from topological spaces to types has a left and right
adjoint, given by `Top.discrete`, resp. `Top.trivial`, the functors which equip a type with the
discrete, resp. trivial, topology.
mathlib commit https://github.com/leanprover-community/mathlib/commit/c9236f47f5b9df573443aa499c0d3968769628b7
@@ -28,6 +28,7 @@ open TopCat
namespace TopCat
+#print TopCat.adj₁ /-
/-- Equipping a type with the discrete topology is left adjoint to the forgetful functor
`Top ⥤ Type`. -/
@[simps Unit counit]
@@ -36,7 +37,9 @@ def adj₁ : discrete ⊣ forget TopCat.{u} :=
{ Unit := { app := fun X => id }
counit := { app := fun X => ⟨id, continuous_bot⟩ } }
#align Top.adj₁ TopCat.adj₁
+-/
+#print TopCat.adj₂ /-
/-- Equipping a type with the trivial topology is right adjoint to the forgetful functor
`Top ⥤ Type`. -/
@[simps Unit counit]
@@ -45,6 +48,7 @@ def adj₂ : forget TopCat.{u} ⊣ trivial :=
{ Unit := { app := fun X => ⟨id, continuous_top⟩ }
counit := { app := fun X => id } }
#align Top.adj₂ TopCat.adj₂
+-/
instance : IsRightAdjoint (forget TopCat.{u}) :=
⟨_, adj₁⟩
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -2,15 +2,12 @@
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Mario Carneiro
-
-! This file was ported from Lean 3 source module topology.category.Top.adjunctions
-! leanprover-community/mathlib commit f7baecbb54bd0f24f228576f97b1752fc3c9b318
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Topology.Category.TopCat.Basic
import Mathlib.CategoryTheory.Adjunction.Basic
+#align_import topology.category.Top.adjunctions from "leanprover-community/mathlib"@"f7baecbb54bd0f24f228576f97b1752fc3c9b318"
+
/-!
# Adjunctions regarding the category of topological spaces
@@ -8,7 +8,7 @@ Authors: Patrick Massot, Mario Carneiro
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
-import Mathlib.Topology.Category.Top.Basic
+import Mathlib.Topology.Category.TopCat.Basic
import Mathlib.CategoryTheory.Adjunction.Basic
/-!
The unported dependencies are