diff --git a/src/sage/combinat/cluster_complex.py b/src/sage/combinat/cluster_complex.py
index 3c85d8db7a4..e263d983887 100644
--- a/src/sage/combinat/cluster_complex.py
+++ b/src/sage/combinat/cluster_complex.py
@@ -267,7 +267,7 @@ def _repr_(self):
             sage: ClusterComplex(['A', 2])._repr_()
             "Cluster complex of type ['A', 2] with 5 vertices and 5 facets"
         """
-        if k == 1:
+        if self._k == 1:
             name = 'Cluster complex'
         else:
             name = 'Multi-cluster complex'
diff --git a/src/sage/structure/sage_object.pyx b/src/sage/structure/sage_object.pyx
index af9c0008672..10000aef394 100644
--- a/src/sage/structure/sage_object.pyx
+++ b/src/sage/structure/sage_object.pyx
@@ -160,6 +160,9 @@ cdef class SageObject:
             sage: P.rename('A polynomial ring')
             sage: P.get_custom_name()
             'A polynomial ring'
+            sage: P.reset_name()
+            sage: P.get_custom_name() is None
+            True
         """
         try:
             return self._SageObject__custom_name