diff --git a/Tangential_complex/include/CGAL/Tangential_complex/Simplicial_complex.h b/Tangential_complex/include/CGAL/Tangential_complex/Simplicial_complex.h
index 3e304742f64..3ef449dfa9c 100644
--- a/Tangential_complex/include/CGAL/Tangential_complex/Simplicial_complex.h
+++ b/Tangential_complex/include/CGAL/Tangential_complex/Simplicial_complex.h
@@ -95,6 +95,7 @@ public:
         combinations(*it_Cf, k + 1, std::back_inserter(k_faces));
         for (const auto &f2 : k_faces) // CJTODO C++1
         {
+          // Skip F
           if (f2 != it_map_elt->first)
           {
             Cofaces_map::iterator it_comb_in_map = cofaces_map.find(f2);
@@ -119,7 +120,7 @@ public:
     }
 
     // Collapse the lower dimension simplices
-    if (k > 1)
+    if (k > 0)
       collapse(max_simplex_dim - 1);
   }