30 citations · 48 across the 28 of their papers we have counts for
5 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.
Limiting Sets for Digital Cones and Suspensions
Laurence Boxer
Cone and suspension constructions have been introduced in digital topology, modeled on those of classical topology. For digital cones and suspensions, and for some related digital…
Variants on Digital Covering Maps
Laurence Boxer
SE Han's paper [11] discusses several variants of digital covering maps. We show several equivalences among these variants and discuss shortcomings in Han's paper.
Limiting Sets in Digital Topology
Laurence Boxer
Freezing sets and cold sets have been introduced as part of the theory of fixed points in digital topology. In this paper, we introduce a generalization of these notions, the limit…