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Aos_2: doc fixes #7713

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Oct 16, 2023
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Original file line number Diff line number Diff line change
Expand Up @@ -5651,10 +5651,24 @@ must model the basic concept `ArrangementBasicTopologyTraits`. A model
of this basic concept holds the (\dcel) data structure used to
represent the arrangement cells (i.e., vertices, edges, and facets)
and the incidence relations between them. At this point we do not
expose the concepts that refine the basic concept. The package
contains one topology traits, namely,
`Arr_spherical_topology_traits_2`. It can serve as a topology traits
for an arrangement embedded on a sphere. More precisely, for an
expose the concepts that refine the basic concept. The package
contains three topology traits class templates, namely,
`Arr_bounded_planar_topology_traits_2`,
`Arr_unb_planar_topology_traits_2`, and
`Arr_spherical_topology_traits_2`. The first two are internally used
to define any instance of the class template
`Arrangement_2<GeometryTraits_2, Dcel>`. In particular, an instance
`Arrangement_2<Geometry_traits_2, Dcel_>` is derived from the instance
`Arrangement_on_surface_2<Geometry_traits_2,Topology_traits>`, where
the `Topology_traits` type is selected based on the provided geometry
traits `Geometry_traits_2`, or more precisely, on the boundary
conditions defined by the geometry traits. If all sides of the
boundary of the parameter space are closed, the instance
`Arr_bounded_planar_topology_traits_2<Geometry_traits_2,Dcel_>` is
selected; otherwise the instance
`Arr_unb_planar_topology_traits_2<Geometry_traits_2,Dcel_>` is
selected. The third topology traits serves as a topology traits for
an arrangement embedded on a sphere. More precisely, for an
arrangement embedded on a sphere defined over a parameter space, the
left and right boundary sides of which are identified, and the top and
bottom boundary sides are contracted.
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