TL;DR
This paper explains the power of homology by illustrating how it computes invariants of higher categories, linking category theory and homological algebra.
Contribution
It demonstrates the connection between homology and higher category invariants, providing insights into the theoretical foundations of homological algebra.
Findings
Homology computes invariants of higher categories
Connection established between category theory and homological algebra
Highlights the theoretical significance of homology in higher categories
Abstract
My short answer to this question is that homology is powerful because it computes invariants of higher categories. In this article we show how this true by taking a leisurely tour of the connection between category theory and homological algebra.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology