Geometric realization and its variants
Yi-Sheng Wang
TL;DR
This paper introduces a unified framework based on model category theory and associative laws to compare various classic variants of the geometric realization functor, enhancing understanding of their relationships.
Contribution
It provides a novel unified approach to analyze and compare different geometric realization variants using advanced categorical methods.
Findings
Unified approach clarifies relationships between variants
Model category theory effectively compares geometric realizations
Enhances theoretical understanding of geometric realization variants
Abstract
In this paper, we present a unified approach using model category theory and an associative law to compare some classic variants of the geometric realization functor.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Digital Image Processing Techniques · Robotic Mechanisms and Dynamics