TL;DR
This paper introduces a new model structure based on structured intervals, cylinders, and co-cylinders within monoidal categories, providing a foundational framework for categorical modeling.
Contribution
It develops a general model structure from structured cylinders and co-cylinders in monoidal categories, extending categorical modeling techniques.
Findings
Defines a model structure from structured intervals in monoidal categories
Establishes a framework for structured cylinders and co-cylinders
Provides foundational tools for categorical modeling
Abstract
We build a model structure from the simple point of departure of a structured interval in a monoidal category - more generally, a structured cylinder and a structured co-cylinder in a category.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology