ROUGH CATEGORY NEARLY APPROACHES THE QUILLEN MODEL CATEGORY

Abstract In this research, we build structure for homotopy theory in the world of coarse geometry by introducing a concept of cofibration and Serre fibration for rough maps. We prove that the axioms of a Quillen model category satisfy but only one.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-23
DOI
https://doi.org/10.5281/zenodo.16533969
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

ROUGH CATEGORY NEARLY APPROACHES THE QUILLEN MODEL CATEGORY

Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
article

ROUGH CATEGORY NEARLY APPROACHES THE QUILLEN MODEL CATEGORY

article en

Abstract

Abstract In this research, we build structure for homotopy theory in the world of coarse geometry by introducing a concept of cofibration and Serre fibration for rough maps. We prove that the axioms of a Quillen model category satisfy but only one.

Zenodo (CERN European Organization for Nuclear Research)
Libyan Academy (LY)
Openalex Percentile: Top 49%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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ROUGH CATEGORY NEARLY APPROACHES THE QUILLEN MODEL CATEGORY · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS