4 citations · 13 across the 8 of their papers we have counts for
13 papers · 1 filter
Trimming and Building Freezing Sets
Laurence Boxer
We develop new tools for the construction of fixed point sets in digital topology. We define excludable points and show that these may be excluded from all freezing sets. We show t…
Remarks on Fixed Point Assertions in Digital Topology, 7
Laurence Boxer
This paper continues a series discussing flaws in published assertions concerning fixed points in digital images.
Freezing Sets for Arbitrary Digital Dimension
Laurence Boxer
We show how to obtain freezing sets for digital images in for arbitrary , using the and adjacencies.
Some Consequences of Restrictions on Digitally Continuous Functions
Laurence Boxer
We study the consequences of some restrictions on digitally continuous functions. One of our results modifies easily to yield an analogous result for topological spaces.
Convexity and AFPP in the Digital Plane
Laurence Boxer
We examine the relationship between convexity and the approximate fixed point property (AFPP) for digital images in Z^2.
Subsets and Freezing Sets in the Digital Plane
Laurence Boxer
We continue the study of freezing sets for digital images introduced in [4, 2, 3]. We prove methods for obtaining freezing sets for digital images (X, c_i) for X \subset Z^2 and i…