Search Results for author:
Found 8 papers, 0 papers with code
Digital topological groups
We define digital topological group homomorphisms, and describe the digital counterpart of the first isomorphism theorem.
Digital homotopy relations and digital homology theories
In this paper we prove results relating to two homotopy relations and four homology theories developed in the topology of digital images.
Strong homotopy of digitally continuous functions
We also define and consider strong homotopy equivalence of digital images.
Homotopy relations for digital images
We introduce three generalizations of homotopy equivalence in digital images, to allow us to express whether a finite and an infinite digital image are similar with respect to homotopy.
Connectivity Preserving Multivalued Functions in Digital Topology
We study connectivity preserving multivalued functions between digital images.
Remarks on pointed digital homotopy
We present and explore in detail a pair of digital images with $c_u$-adjacencies that are homotopic but not pointed homotopic.
Some enumerations of binary digital images
The topology of digital images has been studied much in recent years, but no attempt has been made to exhaustively catalog the structure of binary images of small numbers of points.
Homotopy equivalence of finite digital images
For digital images, there is an established homotopy equivalence relation which parallels that of classical topology.
