{ "id": "2001.00314", "version": "v1", "published": "2020-01-02T03:43:15.000Z", "updated": "2020-01-02T03:43:15.000Z", "title": "Why is Homology so Powerful?", "authors": [ "Jade Master" ], "comment": "13 pages", "categories": [ "math.AT", "math.CT" ], "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. This article assumes familiarity with the basics of category theory and the basics of algebraic topology.", "revisions": [ { "version": "v1", "updated": "2020-01-02T03:43:15.000Z" } ], "analyses": { "keywords": [ "category theory", "article assumes familiarity", "higher categories", "short answer", "algebraic topology" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }