Simploidals sets: Definitions, operations and comparison with simplicial sets

DOI10.1016/j.dam.2008.05.032zbMath1189.05175OpenAlexW1993240014MaRDI QIDQ1003720

Pascal Lienhardt, Laurent Fuchs, Samuel Peltier

Publication date: 4 March 2009

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2008.05.032

zbMATH Keywords

homologysemi-simplicial setssimploidal setstopological based modeling

Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Computing methodologies for image processing (68U10) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Related Items (5)

Simploidal sets: a data structure for handling simploidal Bézier spaces ⋮ Tubular parametric volume objects: thickening a piecewise smooth 3D stick figure ⋮ Homology Computation During an Incremental Construction Process ⋮ Border Operator for Generalized Maps ⋮ Homology of cellular structures allowing multi-incidence

Cites Work

• Computational homology
• On the cohomology of 3D digital images
• Representing geometric structures in \(d\) dimensions: Topology and order
• Semi-simplicial complexes and singular homology
• Functional composition algorithms via blossoming
• N-DIMENSIONAL GENERALIZED COMBINATORIAL MAPS AND CELLULAR QUASI-MANIFOLDS
• CARTESIAN PRODUCT OF SIMPLICIAL AND CELLULAR STRUCTURES
• Δ-SETS I: HOMOTOPY THEORY
• ABSTRACT HOMOTOPY
• Simplicial homotopy theory
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