Directed homotopy modules

In this short note, we argue that directed homotopy can be given the structure of generalized modules, over particular monoids. This is part of a general attempt for refoundation of directed topology.

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Directed homotopy modules

ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Directed homotopy modules

article en

Abstract

In this short note, we argue that directed homotopy can be given the structure of generalized modules, over particular monoids. This is part of a general attempt for refoundation of directed topology.

ArXiv.org
Openalex Percentile: Top 47%
Homotopy and Cohomology in Algebraic Topology
Open Access PDFOpenAlex
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Directed homotopy modules · ArXiv.org (2025) | TGRS Research Map | TGRS