{ "id": "2211.13821", "version": "v1", "published": "2022-11-24T23:14:27.000Z", "updated": "2022-11-24T23:14:27.000Z", "title": "On inductive and inverse limits of systems of compact metric spaces and applications", "authors": [ "Kamil Urbaƛ" ], "comment": "22 pages, 4 figures", "categories": [ "math.GN" ], "abstract": "The aim of this paper is to prove the existence of inductive and inverse limits of direct and inverse systems in a certain category of compact metric spaces as well as of compact metric groups. Some applications are presented.", "revisions": [ { "version": "v1", "updated": "2022-11-24T23:14:27.000Z" } ], "analyses": { "keywords": [ "compact metric spaces", "inverse limits", "applications", "compact metric groups", "inverse systems" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable" } } }