Manuscript Title:

ROUGH CATEGORY NEARLY APPROACHES THE QUILLEN MODEL CATEGORY

Author:

NADIA E. GHEITH, ALAMIN ABUSBAIHA, MOHAMED ABULGASIM ABUAJIYLA

DOI Number:

DOI:10.5281/zenodo.16673254

Published : 2025-07-23

About the author(s)

1. NADIA E. GHEITH - Libyan Academy for Postgraduate Studies, School of Basic Sciences, Department of Mathematical Sciences, Janzur, Libya.
2. ALAMIN ABUSBAIHA - Mathematics Department, University of Gharyan, Mezda, Libya.
3. MOHAMED ABULGASIM ABUAJIYLA - Mathematics Department, University of Gharyan, Mezda, Libya.

Full Text : PDF

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.


Keywords

Rough Maps, Rough Category, Rough Class Category, Quillen Model Category.