The topology of critical processes, III (Computing homotopy)

Fuente: arXiv
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Main Author: Grandis, Marco
Format: Preprint
Published: 2024
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_version_ 1866929487179939840
author Grandis, Marco
author_facet Grandis, Marco
contents Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The previous parts of this series introduced controlled spaces and their fundamental category. Here we study how to compute the latter. The homotopy structure of these spaces will be examined in Part IV.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02972
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The topology of critical processes, III (Computing homotopy)
Grandis, Marco
Algebraic Topology
55M, 55P, 55Q, 68Q85
Directed Algebraic Topology studies spaces equipped with a form of direction, to include models of non-reversible processes. In the present extension we also want to cover critical processes, indecomposable and unstoppable. The previous parts of this series introduced controlled spaces and their fundamental category. Here we study how to compute the latter. The homotopy structure of these spaces will be examined in Part IV.
title The topology of critical processes, III (Computing homotopy)
topic Algebraic Topology
55M, 55P, 55Q, 68Q85
url https://arxiv.org/abs/2409.02972