diff --git a/Locales/PackageInfo.g b/Locales/PackageInfo.g index 70b1bc1ba..b5f1adbe9 100644 --- a/Locales/PackageInfo.g +++ b/Locales/PackageInfo.g @@ -10,9 +10,9 @@ SetPackageInfo( rec( PackageName := "Locales", Subtitle := "Locales, frames, coframes, meet semi-lattices of locally closed subsets, and Boolean algebras of constructible sets", -Version := "2024.09-02", -Date := "2024-09-06", -Date := "2024-09-06", +Version := "2024.09-03", +Date := "2024-09-07", +Date := "2024-09-07", License := "GPL-2.0-or-later", Persons := [ diff --git a/Locales/doc/chap0.html b/Locales/doc/chap0.html index 2f5fde76d..1c40a47eb 100644 --- a/Locales/doc/chap0.html +++ b/Locales/doc/chap0.html @@ -29,10 +29,10 @@
- 2024.09-02
+ 2024.09-03- 6 September 2024 + 7 September 2024
@@ -104,8 +104,9 @@- 2024.09-02
+ 2024.09-03- 6 September 2024 + 7 September 2024
‣ IsCategoryWithoutMorphismData ( object ) | ( filter ) |
Returns: true
or false
The GAP category of categories with morphisms without a morphism datum.
+ -‣ IsObjectInThinCategory ( object ) | ( filter ) |
Returns: true
or false
‣ IsMorphismInThinCategory ( morphism ) | ( filter ) |
Returns: true
or false
‣ IsCategoryWithoutMorphismData ( object ) | ( filter ) |
Returns: true
or false
The GAP category of categories with morphisms without a morphism datum.
+ -‣ IsObjectInThinCategory ( object ) | ( filter ) |
Returns: true
or false
‣ IsMorphismInThinCategory ( morphism ) | ( filter ) |
Returns: true
or false
‣ UnderlyingPreorderFunction ( C ) | ( attribute ) |
The preorder function used to define the thin category C. This function accepts two arguments in the GAP-filter ValueGlobal
(UnderlyingObjectFilter
(C)) and returns true or false.
‣ UnderlyingObject ( arg ) | ( attribute ) |
‣ UnderlyingDatum ( arg ) | ( attribute ) |
‣ UnderlyingPreorderFunction ( C ) | ( attribute ) |
The preorder function used to define the thin category C. This function accepts two arguments in the GAP-filter ValueGlobal
(UnderlyingObjectFilter
(C)) and returns true or false.
‣ UnderlyingObject ( arg ) | ( attribute ) |
‣ UnderlyingDatum ( arg ) | ( attribute ) |
‣ StablePosetOfCategory ( C ) | ( attribute ) |
‣ AsCellOfProset ( c ) | ( attribute ) |
‣ AsCellOfStableProset ( c ) | ( attribute ) |
‣ AsCellOfPoset ( c ) | ( attribute ) |
‣ AsCellOfStablePoset ( c ) | ( attribute ) |
‣ / ( object, P ) | ( operation ) |
The ambient category of the proset P.
- + + +‣ UnderlyingObject ( obj ) | ( attribute ) |
Returns: a CAP category object
+ +The object in the ambient category underlying obj.
+ + -‣ UnderlyingCell ( cell ) | ( attribute ) |
Returns: a CAP cell
+‣ UnderlyingMorphism ( mor ) | ( attribute ) |
Returns: a CAP category morphism
-The cell in the ambient category underlying cell.
+The morphism in the ambient category underlying mor.
@@ -435,7 +415,7 @@‣ StablePosetOfCategory ( C ) | ( attribute ) |
‣ AsCellOfProset ( c ) | ( attribute ) |
‣ AsCellOfStableProset ( c ) | ( attribute ) |
‣ AsCellOfPoset ( c ) | ( attribute ) |
‣ AsCellOfStablePoset ( c ) | ( attribute ) |
‣ / ( object, P ) | ( operation ) |
The ambient category of the proset P.
- + + +‣ UnderlyingObject ( obj ) | ( attribute ) |
Returns: a CAP category object
+ +The object in the ambient category underlying obj.
+ + -‣ UnderlyingCell ( cell ) | ( attribute ) |
Returns: a CAP cell
+‣ UnderlyingMorphism ( mor ) | ( attribute ) |
Returns: a CAP category morphism
-The cell in the ambient category underlying cell.
+The morphism in the ambient category underlying mor.
@@ -438,7 +418,7 @@/
, for IsCapCategoryCell, IsProsetOrPosetOfCapCategory 8.2-10 \*
, for IsObjectInThinCategory, IsObjectInThinCategory 3.3-1 \+
, for IsObjectInThinCategory, IsObjectInThinCategory 3.3-2 \-
, for IsObjectInThinCategory, IsObjectInThinCategory 10.1-2 AddUniqueMorphism
, for IsCapCategory, IsFunction 1.6-2 AmbientCategory
, for IsProsetOrPosetOfCapCategory 8.3-1 AreIsomorphicForObjectsIfIsHomSetInhabited
, for IsCapCategoryObject, IsCapCategoryObject 1.4-1 AsCellOfPoset
, for IsCapCategoryCell 8.2-8 AsCellOfProset
, for IsCapCategoryCell 8.2-6 AsCellOfStablePoset
, for IsCapCategoryCell 8.2-9 AsCellOfStableProset
, for IsCapCategoryCell 8.2-7 AsMultipleDifference
11.1-2 AsSingleDifference
, for IsObjectInMeetSemilatticeOfMultipleDifferences 11.2-1 AsUnionOfMultipleDifferences
, for IsDatastructureForConstructibleObjects 14.3-9 IsBooleanAlgebraOfConstructibleObjectsAsUnionOfSingleDifferences
, for IsBooleanAlgebraOfConstructibleObjects 12.5-7 IsBooleanAlgebroid
, for IsCapCategory 6.1-3 IsCartesianProset
, for IsCapCategory 3.1-1 IsCategoryWithoutMorphismData
, for IsCapCategory 1.5-1 IsCellInIntervalCategory
, for IsCapCategoryCell 13.3-2 IsCellInPosetOfCategory
, for IsCellInProsetOrPosetOfCategory 8.5-12 IsCellInProsetOfCategory
, for IsCellInProsetOrPosetOfCategory 8.5-8 IsMorphismInMeetSemilatticeOfSingleDifferences
, for IsMorphismInMeetSemilatticeOfDifferences 10.3-3 IsMorphismInPosetOfCategory
, for IsCellInPosetOfCategory and IsMorphismInThinCategory 8.5-14 IsMorphismInProsetOfCategory
, for IsCellInProsetOfCategory and IsMorphismInThinCategory 8.5-10 IsMorphismInThinCategory
, for IsCapCategoryMorphism and IsMonomorphism and IsEpimorphism 1.5-2 IsMorphismInThinCategory
, for IsCapCategoryMorphism and IsMonomorphism and IsEpimorphism 1.5-3 IsNodeInDatastructureOfConstructibleObjects
, for IsAttributeStoringRep 14.4-2 IsObjectInIntervalCategory
, for IsCellInIntervalCategory and IsCapCategoryObject 13.3-3 IsObjectInMeetSemilatticeOfDifferences
, for IsObjectInThinCategory 9.4-2 IsObjectInPosetOfCategory
, for IsCellInPosetOfCategory and IsObjectInProsetOrPosetOfCategory 8.5-13 IsObjectInProsetOfCategory
, for IsCellInProsetOfCategory and IsObjectInProsetOrPosetOfCategory 8.5-9 IsObjectInProsetOrPosetOfCategory
, for IsCellInProsetOrPosetOfCategory and IsObjectInThinCategory 8.5-6 IsObjectInThinCategory
, for IsCapCategoryObject 1.5-1 IsObjectInThinCategory
, for IsCapCategoryObject 1.5-2 IsOpen
, for IsConstructibleObject 12.2-1 IsPosetCategory
, for IsCapCategory 2.1-1 IsPosetOfCapCategory
, for IsProsetOrPosetOfCapCategory 8.5-11 IsProsetAsCategory
, for IsCapCategory and IsThinCategory 7.3-1 IsProsetAsCategory
, for IsCategoryWithoutMorphismData 7.3-1 IsProsetOfCapCategory
, for IsProsetOrPosetOfCapCategory 8.5-7 IsProsetOrPosetOfCapCategory
, for IsCapCategory 8.5-3 IsSymmetricClosedMonoidalLattice
, for IsCapCategory 3.1-13 TotalOrderAsCategory
, for IsString, IsFunction 7.1-3 UnderlyingCategory
, for IsBooleanAlgebraOfConstructibleObjects 12.3-1 UnderlyingCell
, for IsCellInProsetOfCategory 8.3-2 UnderlyingObject
, for IsObjectInThinCategory 7.2-5 UnderlyingDatum
, for IsObjectInThinCategory 7.2-5 UnderlyingMorphism
, for IsMorphismInPosetOfCategory 8.3-3 UnderlyingObject
, for IsObjectInProsetOfCategory 8.3-2 UnderlyingObjectEqualityFunction
, for IsProsetAsCategory 7.2-3 UnderlyingObjectFilter
, for IsProsetAsCategory 7.2-1 UnderlyingObjectMembershipFunction
, for IsProsetAsCategory 7.2-2 /
, for IsCapCategoryCell, IsProsetOrPosetOfCapCategory 8.2-10 \*
, for IsObjectInThinCategory, IsObjectInThinCategory 3.3-1 \+
, for IsObjectInThinCategory, IsObjectInThinCategory 3.3-2 \-
, for IsObjectInThinCategory, IsObjectInThinCategory 10.1-2 AddUniqueMorphism
, for IsCapCategory, IsFunction 1.6-2 AmbientCategory
, for IsProsetOrPosetOfCapCategory 8.3-1 AreIsomorphicForObjectsIfIsHomSetInhabited
, for IsCapCategoryObject, IsCapCategoryObject 1.4-1 AsCellOfPoset
, for IsCapCategoryCell 8.2-8 AsCellOfProset
, for IsCapCategoryCell 8.2-6 AsCellOfStablePoset
, for IsCapCategoryCell 8.2-9 AsCellOfStableProset
, for IsCapCategoryCell 8.2-7 AsMultipleDifference
11.1-2 AsSingleDifference
, for IsObjectInMeetSemilatticeOfMultipleDifferences 11.2-1 AsUnionOfMultipleDifferences
, for IsDatastructureForConstructibleObjects 14.3-9 IsBooleanAlgebraOfConstructibleObjectsAsUnionOfSingleDifferences
, for IsBooleanAlgebraOfConstructibleObjects 12.5-7 IsBooleanAlgebroid
, for IsCapCategory 6.1-3 IsCartesianProset
, for IsCapCategory 3.1-1 IsCategoryWithoutMorphismData
, for IsCapCategory 1.5-1 IsCellInIntervalCategory
, for IsCapCategoryCell 13.3-2 IsCellInPosetOfCategory
, for IsCellInProsetOrPosetOfCategory 8.5-12 IsCellInProsetOfCategory
, for IsCellInProsetOrPosetOfCategory 8.5-8 IsMorphismInMeetSemilatticeOfSingleDifferences
, for IsMorphismInMeetSemilatticeOfDifferences 10.3-3 IsMorphismInPosetOfCategory
, for IsCellInPosetOfCategory and IsMorphismInThinCategory 8.5-14 IsMorphismInProsetOfCategory
, for IsCellInProsetOfCategory and IsMorphismInThinCategory 8.5-10 IsMorphismInThinCategory
, for IsCapCategoryMorphism and IsMonomorphism and IsEpimorphism 1.5-2 IsMorphismInThinCategory
, for IsCapCategoryMorphism and IsMonomorphism and IsEpimorphism 1.5-3 IsNodeInDatastructureOfConstructibleObjects
, for IsAttributeStoringRep 14.4-2 IsObjectInIntervalCategory
, for IsCellInIntervalCategory and IsCapCategoryObject 13.3-3 IsObjectInMeetSemilatticeOfDifferences
, for IsObjectInThinCategory 9.4-2 IsObjectInPosetOfCategory
, for IsCellInPosetOfCategory and IsObjectInProsetOrPosetOfCategory 8.5-13 IsObjectInProsetOfCategory
, for IsCellInProsetOfCategory and IsObjectInProsetOrPosetOfCategory 8.5-9 IsObjectInProsetOrPosetOfCategory
, for IsCellInProsetOrPosetOfCategory and IsObjectInThinCategory 8.5-6 IsObjectInThinCategory
, for IsCapCategoryObject 1.5-1 IsObjectInThinCategory
, for IsCapCategoryObject 1.5-2 IsOpen
, for IsConstructibleObject 12.2-1 IsPosetCategory
, for IsCapCategory 2.1-1 IsPosetOfCapCategory
, for IsProsetOrPosetOfCapCategory 8.5-11 IsProsetAsCategory
, for IsCapCategory and IsThinCategory 7.3-1 IsProsetAsCategory
, for IsCategoryWithoutMorphismData 7.3-1 IsProsetOfCapCategory
, for IsProsetOrPosetOfCapCategory 8.5-7 IsProsetOrPosetOfCapCategory
, for IsCapCategory 8.5-3 IsSymmetricClosedMonoidalLattice
, for IsCapCategory 3.1-13 TotalOrderAsCategory
, for IsString, IsFunction 7.1-3 UnderlyingCategory
, for IsBooleanAlgebraOfConstructibleObjects 12.3-1 UnderlyingCell
, for IsCellInProsetOfCategory 8.3-2 UnderlyingObject
, for IsObjectInThinCategory 7.2-5 UnderlyingDatum
, for IsObjectInThinCategory 7.2-5 UnderlyingMorphism
, for IsMorphismInPosetOfCategory 8.3-3 UnderlyingObject
, for IsObjectInProsetOfCategory 8.3-2 UnderlyingObjectEqualityFunction
, for IsProsetAsCategory 7.2-3 UnderlyingObjectFilter
, for IsProsetAsCategory 7.2-1 UnderlyingObjectMembershipFunction
, for IsProsetAsCategory 7.2-2
- [BLK06] Barakat, M., Lange-Hegermann, M. and Kuhmichel, T.,
+ [BLK07] Barakat, M., Lange-Hegermann, M. and Kuhmichel, T.,
Locales, Locales, frames, coframes, meet semi-lattices of locally closed subsets, and Boolean algebras of constructible sets,
- Version 2024.09-02
- (9-06)
+ Version 2024.09-03
+ (9-07)
(GAP package),
https://homalg-project.github.io/pkg/Locales.