Dimension on discrete spaces

DOI10.1007/BF00670697zbMath0829.53055arXivgr-qc/9402035MaRDI QIDQ1340323

Alexander V. Ivashchenko

Publication date: 11 December 1994

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9402035

zbMATH Keywords

space-time topologyclosed 3-manifolds with singularitiesdiscrete models for continuous spaces

Mathematics Subject Classification ID

Related Items (7)

Topological properties of the intersection graph of covers of \(n\)-dimensional surfaces ⋮ Principle of event symmetry ⋮ A definition of surfaces of \({\mathbb{Z}}^{3}\). A new 3D discrete Jordan theorem ⋮ Topological graph dimension ⋮ Discrete Set-Valued Continuity and Interpolation ⋮ Derived neighborhoods and frontier orders ⋮ Connected sum of digital closed surfaces

Cites Work

• The coordinate representation of a graph and \(n\)-universal graph of radius 1
• Finarity substitute for continuous topology
• First flash and second vacuum
• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs
• Contractible transformations do not change the homology groups of graphs
• Minimal graphs of a torus, a projective plane and spheres and some properties of minimal graphs of homotopy classes
• Quantum norm theory and the quantisation of metric topology
• Digital Topology
• A Topological Approach to Digital Topology

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