REMARKS ON DIGITAL HOMOTOPY EQUIVALENCE

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 1,  2007, pp.101-118
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.1.101
Title & Authors
REMARKS ON DIGITAL HOMOTOPY EQUIVALENCE
Han, Sang-Eon;

Abstract
The notions of digital k-homotopy equivalence and digital ($\small{k_0,k_1}$)-homotopy equivalence were developed in [13, 16]. By the use of the digital k-homotopy equivalence, we can investigate digital k-homotopy equivalent properties of Cartesian products constructed by the minimal simple closed 4- and 8-curves in $\small{\mathbf{Z}^2}$.
Keywords
discrete topology;digital k-graph;digital ($\small{k_0,k_1}$)isomorphism;digital fundamental group;k-separating set;k-thin;k-corner;digital surface;digital ($\small{k_0,k_1}$)-homotopy equivalenc;digital k-homotopy equivalence;
Language
English
Cited by
1.
DIGITAL GEOMETRY AND ITS APPLICATIONS,;

호남수학학술지, 2008. vol.30. 2, pp.207-217
1.
Comparison among digital fundamental groups and its applications, Information Sciences, 2008, 178, 8, 2091
2.
DIGITAL COVERING THEORY AND ITS APPLICATIONS, Honam Mathematical Journal, 2008, 30, 4, 589
3.
DIGITAL GEOMETRY AND ITS APPLICATIONS, Honam Mathematical Journal, 2008, 30, 2, 207
4.
Homotopy equivalence which is suitable for studying Khalimsky nD spaces, Topology and its Applications, 2012, 159, 7, 1705
5.
The k-Homotopic Thinning and a Torus-Like Digital Image in Z n, Journal of Mathematical Imaging and Vision, 2008, 31, 1, 1
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