Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\)

DOI10.1007/s11253-016-1150-4zbMath1377.68280OpenAlexW2460226907MaRDI QIDQ1688167

Peng Zhang

Publication date: 5 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11253-016-1150-4

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Homotopy equivalences in algebraic topology (55P10) Topological characterizations of particular spaces (54F65) Weak and generalized continuity (54C08) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Categorical methods in general topology (54B30) Topological categories, foundations of homotopy theory (55U40)

Related Items (1)

Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces

Cites Work

• Unnamed Item
• Unnamed Item
• A compression of digital images derived from a Khalimsky topological structure
• Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces
• Computer graphics and connected topologies on finite ordered sets
• A classical construction for the digital fundamental group
• Axiomatic digital topology
• Equivalent \((k_{0},k_{1})\)-covering and generalized digital lifting
• Non-product property of the digital fundamental group
• ‘Continuous’ functions on digital pictures
• Topologies for the digital spaces and
• KD-(k₀, k₁)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
• STRONG k-DEFORMATION RETRACT AND ITS APPLICATIONS

This page was built for publication: Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\)