@kindex keymap @r{(overlay property)}
If this property is non-@code{nil}, it specifies a keymap for a
portion of the text. This keymap takes precedence over most other
-keymaps (@pxref{Active Keymaps}), and it is used when the character
-after point is within the overlay, or would be when taking the front-
-and rear-advance properties into consideration (@pxref{Managing
-Overlays}).
+keymaps (@pxref{Active Keymaps}), and it is used when point is within
+the overlay, where the front-
+and rear-advance properties define whether the boundaries are
+considered as being @emph{within} or not.
@item local-map
@kindex local-map @r{(overlay property)}