diff --git a/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMap.h b/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMap.h
index d82dd8c98b3..035ad905459 100644
--- a/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMap.h
+++ b/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMap.h
@@ -20,7 +20,7 @@ public:
 GeneralizedMap();
 
 /*!
-Construct a new generalized map from another one. The new generalized map is created by copying the darts and the non void attributes of gmap. GMap must be a model of `GeneralizedMap` concept, which can be defined with a different dimension and/or different attributes than `*this`. In this case, only permutations that are common to `gmap` and `*this`, and only non void i-attributes of `gmap` whose info type is the same to the info of non void i-attributes of `*this`, are copied.
+Construct a new generalized map from another one. The new generalized map is created by copying the darts and the non void attributes of gmap. GMap must be a model of `GeneralizedMap` concept, which can be defined with a different dimension and/or different attributes than `*this`. In this case, only involutions that are common to `gmap` and `*this`, and only non void i-attributes of `gmap` whose info type is the same to the info of non void i-attributes of `*this`, are copied.
 */
 template<typename GMap>
 GeneralizedMap(const GMap& gmap);
diff --git a/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMapItems.h b/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMapItems.h
index 73ea02bd221..4d4bb83f8eb 100644
--- a/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMapItems.h
+++ b/Generalized_map/doc/Generalized_map/Concepts/GeneralizedMapItems.h
@@ -2,7 +2,7 @@
 \ingroup PkgGeneralizedMapsConcepts
 \cgalConcept
 
-The concept `GeneralizedMapItems` allows to customize a <I>d</I>D generalized map by choosing the type of darts, and by enabling and disabling some attributes. For that, it defines an inner class template named \ref GeneralizedMapItems::GDart_wrapper "GDart_wrapper", with one template parameter, `GMap`, a model of the `GeneralizedMap` concept. This inner class must define two types: `%GDart` and `%Attributes`.
+The concept `GeneralizedMapItems` allows to customize a <I>d</I>D generalized map by choosing the type of darts, and by enabling and disabling some attributes. For that, it defines an inner class template named \ref GeneralizedMapItems::GDart_wrapper "GDart_wrapper", with one template parameter, `GMap`, a model of the `GeneralizedMap` concept. This inner class must define two types: `%Dart` and `%Attributes`.
 
 \cgalHasModel \ref CGAL::Generalized_map_min_items "CGAL::Generalized_map_min_items<d>"
 
@@ -19,7 +19,7 @@ The concept `GeneralizedMapItems` allows to customize a <I>d</I>D generalized ma
     template < class GMap >
     struct GDart_wrapper
     {
-      typedef CGAL::GDart<4, GMap> GDart;
+      typedef CGAL::GDart<4, GMap> Dart;
       typedef CGAL::cpp11::tuple<> Attributes;
     };
   };
@@ -29,7 +29,7 @@ The concept `GeneralizedMapItems` allows to customize a <I>d</I>D generalized ma
     template < class GMap >
     struct GDart_wrapper
     {
-      typedef CGAL::GDart<3, GMap> GDart;
+      typedef CGAL::GDart<3, GMap> Dart;
       typedef CGAL::Cell_attribute<GMap, int> Edge_attrib;
       typedef CGAL::cpp11::tuple<void,Edge_attrib> Attributes;
     };
@@ -43,7 +43,7 @@ public:
     Wrapper class defining type of darts and types of attributes.
     The class `%GDart_wrapper<GMap>` must provide:
 
-  - `%GDart_wrapper<GMap>::%GDart`, the type of dart, a model of the `GDart` concept.
+  - `%GDart_wrapper<GMap>::%Dart`, the type of dart, a model of the `GDart` concept.
   - `%GDart_wrapper<GMap>::%Attributes` The tuple of attributes, containing at most \ref GeneralizedMap::dimension "GMap::dimension+1" types (one for each possible cell of the generalized map). Each type of the tuple must be either a model of the `CellAttribute` concept or `void`. The first type corresponds to 0-attributes, the second to 1-attributes and so on. If the \f$ i^{\mbox{th}}\f$ type in the tuple is `void`, (<I>i</I>-1)-attributes are disabled. Otherwise, (<I>i</I>-1)-attributes are enabled and have the given type. If the size of the tuple is <I>k</I>, with <I>k</I><\ref GeneralizedMap::dimension "GMap::dimension+1", \f$ \forall\f$<I>i</I>: <I>k</I>\f$ \leq\f$<I>i</I>\f$ \leq\f$\ref GeneralizedMap::dimension "GMap::dimension", <I>i</I>-attributes are disabled.
 
   \note It can be implemented using a nested template class.