Homology of spaces of directed paths on Euclidean cubical complexes

DOI10.1007/s40062-013-0045-4zbMath1309.55003OpenAlexW2013816823MaRDI QIDQ2255529

Krzysztof Ziemiański, Martin Raussen

Publication date: 17 February 2015

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-013-0045-4

zbMATH Keywords

cohomologyhomologypath spacedirected pathscubical complex

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) (68Q85) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (13)

Configuration spaces and directed paths on the final precubical set ⋮ Unnamed Item ⋮ Linear obstacles in linear systems, and ways to avoid them ⋮ Stable components of directed spaces ⋮ Homology of Spaces of Directed Paths in Euclidean Pattern Spaces ⋮ Towards Directed Collapsibility (Research) ⋮ Directed path spaces via discrete vector fields ⋮ Strictifying and taming directed paths in Higher Dimensional Automata ⋮ Spaces of directed paths on pre-cubical sets ⋮ On execution spaces of PV-programs ⋮ Spaces of directed paths on pre-cubical sets II ⋮ Combinatorial conditions for directed collapsing ⋮ Connectivity of spaces of directed paths in geometric models for concurrent computation

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• Simplicial models of trace spaces
• Trace spaces in a pre-cubical complex
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• Algebraic topology and concurrency
• Classifying spaces and spectral sequences
• Homotopy limits, completions and localizations
• On the classification of dipaths in geometric models for concurrency
• Trace spaces of directed tori with rectangular holes

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