DIGITAL HOMOLOGY GROUPS OF DIGITAL WEDGE SUMS

DOI10.5831/HMJ.2016.38.4.819zbMath1384.55004OpenAlexW2601981638MaRDI QIDQ4603404

Sang-Eon Han, Jeang Min Kang

Publication date: 20 February 2018

Published in: Honam Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5831/hmj.2016.38.4.819

zbMATH Keywords

strong \(k\)-deformation retractrelative homology groupdigital homologydigital wedge sum

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Other homology theories in algebraic topology (55N35)

Cites Work

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• Lefschetz fixed point theorem for digital images
• A classical construction for the digital fundamental group
• Applications of the Lefschetz number to digital images
• Non-product property of the digital fundamental group
• Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces
• FIXED POINT THEOREMS FOR DIGITAL IMAGES
• Ultra regular covering space and its automorphism group
• ‘Continuous’ functions on digital pictures
• Fuzzy digital topology
• KD-(k₀, k₁)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
• STRONG k-DEFORMATION RETRACT AND ITS APPLICATIONS

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