Contractibility and fixed point property: the case of Khalimsky topological spaces

DOI10.1186/s13663-016-0566-8zbMath1350.55007OpenAlexW2467643203WikidataQ59462828 ScholiaQ59462828MaRDI QIDQ737228

Sang-Eon Han

Publication date: 9 August 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-016-0566-8

zbMATH Keywords

fixed point propertydigital topologyKhalimsky topologydigital continuitydigital contractibility

Mathematics Subject Classification ID

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

Related Items (8)

The fixed point property of an \(M\)-retract and its applications ⋮ A counterexample on contractible transformations on graphs ⋮ Fixed point property for digital spaces ⋮ Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Strong homotopy in finite topological adjacency category ⋮ Strong homotopy induced by adjacency structure ⋮ The fixed point property of the smallest open neighborhood of the n-dimensional Khalimsky topological space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lefschetz fixed point theorem for digital images
• A classical construction for the digital fundamental group
• Contractible transformations do not change the homology groups of graphs
• AFPP vs FPP
• Non-product property of the digital fundamental group
• Connected sum of digital closed surfaces
• FIXED POINT THEOREMS FOR DIGITAL IMAGES
• Digital fixed points, approximate fixed points, and universal functions
• The Number of Khalimsky-Continuous Functions between Two Points
• The generalization of Cellina's Fixed Point Theorem
• Banach fixed point theorem from the viewpoint of digital topology
• CONTINUITIES AND HOMEOMORPHISMS IN COMPUTER TOPOLOGY AND THEIR APPLICATIONS
• ‘Continuous’ functions on digital pictures
• Contractibility and fixed point property: the case of decomposable sets
• Fuzzy digital topology
• KD-(k₀, k₁)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
• STRONG k-DEFORMATION RETRACT AND ITS APPLICATIONS
• Homotopy based on Marcus-Wyse topology and its applications

This page was built for publication: Contractibility and fixed point property: the case of Khalimsky topological spaces