property) rather than replacing it.
@end table
+The @code{local-map} and @code{keymap} properties do not affect a
+string displayed by the @code{before-string}, @code{after-string}, or
+@code{display} properties. This is only relevant for mouse clicks and
+other mouse events that fall on the string, since point is never on
+the string. To bind special mouse events for the string, assign it a
+@code{local-map} or @code{keymap} text property. @xref{Special
+Properties}.
+
@node Finding Overlays
@subsection Searching for Overlays