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4 (Co)frames/Locales of Zariski closed/open subsets in affine varieties
 4.1 GAP Categories
 4.2 Operatoins

4 (Co)frames/Locales of Zariski closed/open subsets in affine varieties

4.1 GAP Categories

4.1-1 IsObjectInZariskiFrameOrCoframeOfAnAffineVariety
‣ IsObjectInZariskiFrameOrCoframeOfAnAffineVariety( object )( filter )

Returns: true or false

The GAP category of objects in a Zariski frame or coframe of an affine variety.

4.1-2 IsMorphismInZariskiFrameOrCoframeOfAnAffineVariety
‣ IsMorphismInZariskiFrameOrCoframeOfAnAffineVariety( morphism )( filter )

Returns: true or false

The GAP category of morphisms in a Zariski frame or coframe of an affine variety.

4.2 Operatoins

4.2-1 DistinguishedQuasiAffineSet
‣ DistinguishedQuasiAffineSet( eqs, ineqs, R, point_emb )( operation )
‣ DistinguishedQuasiAffineSet( eqs, ineqs, point_emb )( operation )
‣ DistinguishedQuasiAffineSet( eqs, ineqs )( operation )
‣ DistinguishedQuasiAffineSet( eqs_ineqs )( operation )

Returns: an object in a meet-semilattice of formal multiple differences

Construct a distinguished quasi-affine set A defined by the set eqs of equations and the set ineqs of inequations over the commutative unital ring R. A quasi-affine set is called distinguished if it is a difference of an affine set and a hypersurface (or, equivalently, hypersurfaces). The optional object point_emb is an object parametrized by A and giving an embedding/realization of the abstract points of A in some context.

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