Digitally Continuous Homotopy
by
Laurence Boxer
Niagara University

In (Rosenfeld, 1986), a natural analog of the usual \epsilon-\delta definition of a continuous function is stated for digital pictures, and several properties of such digitally continuous functions are examined. Additional properties of digitally continuous functions are developed in (Boxer, 1994). In the current paper, we continue this work by developing properties of a digital version of homotopy. This gives us an alternative to the development of the digital fundamental group presented in (Kong, 1989) and (Kong, Roscoe, and Rosenfeld, 1992). We obtain digital analogs of many classical theorems concerning homotopy properties and fundamental groups.

Date received: April 12, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caae-07.