30 citations · 48 across the 28 of their papers we have counts for
4 papers · 1 filter
Approximate Fixed Point Properties in Digital Topology
Laurence Boxer
We study the approximate fixed point property (AFPP) for continuous single-valued functions and for continuous multivalued functions in digital topology. We extend what is known ab…
MSS_18 is Digitally 18-contractible
Laurence Boxer
The paper [10] incorrectly asserts that the digital image MSS_18, a digital model of the Euclidean 2-sphere S^2, is not 18-contractible. We show this assertion is false.
Fixed Point Sets in Digital Topology, 2
Laurence Boxer
We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10].…
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…