Digital products, wedges, and covering spaces

DOI10.1007/s10851-006-9698-5zbMath1478.94013OpenAlexW1970821174MaRDI QIDQ851831

Laurence Boxer

Publication date: 22 November 2006

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-006-9698-5

zbMATH Keywords

fundamental grouphomotopycovering spacedigital topologydigital imagecontractibledigitally continuous

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Homotopy groups (55Q99)

Related Items (28)

Explicit motion planning in digital projective product spaces ⋮ Digital fibrations ⋮ Equivalent conditions for digital covering maps ⋮ Lefschetz fixed point theorem for digital images ⋮ Digital semicovering and digital quasicovering maps ⋮ Unnamed Item ⋮ The digital smash product ⋮ Persistent homology of graph-like digital images ⋮ Unnamed Item ⋮ Digital topological complexity numbers ⋮ Alternate product adjacencies in digital topology ⋮ Topological Complexities of Finite Digital Images ⋮ A fundamental group for digital images ⋮ On the digitally quasi comultiplications of digital images ⋮ Compatible adjacency relations for digital products ⋮ Digital Lusternik-Schnirelmann category of digital functions ⋮ Multiplicative property of the digital fundamental group ⋮ Existence problem of a generalized universal covering space ⋮ Some properties of digital covering spaces ⋮ Unnamed Item ⋮ Commuting and compatible mappings in digital metric spaces ⋮ Digital homotopy fixed point theory ⋮ Unnamed Item ⋮ Digital fixed points, approximate fixed points, and universal functions ⋮ Homotopy theory in digital topology ⋮ The classification of digital covering spaces ⋮ Cartesian product of the universal covering property ⋮ Digital fundamental groups and edge groups of clique complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concepts of digital topology
• A classical construction for the digital fundamental group
• Covering regular graphs
• Homotopy in two-dimensional digital images
• Non-product property of the digital fundamental group
• Homotopy properties of sphere-like digital images
• Properties of digital homotopy
• ‘Continuous’ functions on digital pictures
• Topological structures in computer science
• Digitally continuous functions

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