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math.GN2019★ 2 cited
Strong homotopy of digitally continuous functions
P. Christopher Staecker
We introduce a new type of homotopy relation for digitally continuous functions which we call ``strong homotopy.'' Both digital homotopy and strong homotopy are natural digitizatio…
math.GN2019
Fixed point sets in digital topology, 1
Laurence Boxer, P. Christopher Staecker
In this paper, we examine some properties of the fixed point set of a digitally continuous function. The digital setting requires new methods that are not analogous to those of cla…