[ToC]

 

Roberto Casati and Achille C. Varzi, Holes and Other Superficialities, MIT Press, 1994

SOME BASIC HOLES AND THEIR ASSOCIATED SKINS

Let us go back to our main theme. We have seen that fillers allow us to take a complementary stance toward holed objects—a form of dual reasoning that can be quite illuminating. However, the importance of fillers does not lie only in their flesh, as it were; it also lies in their "skin," i.e. in their non-free surfaces. Figure 5.16 [right] illustrates the basic behavior of the skinning map, a function associating every hole with the skin of its perfect filler.