G. Beer defined the visibility function of a set S and proved its continuity in the interior of S. It is proved here that the visibility function of a planar Jordan domain is continuous precisely at the cone points of the boundary of S.
@article{urn:eudml:doc:41694, title = {Continuity of the visibility function.}, journal = {Publicacions Matem\`atiques}, volume = {35}, year = {1991}, pages = {323-332}, mrnumber = {MR1201559}, zbl = {0746.52010}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41694} }
Forte Cunto, Ana. Continuity of the visibility function.. Publicacions Matemàtiques, Tome 35 (1991) pp. 323-332. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41694/