{ "id": "1902.04126", "version": "v1", "published": "2019-02-11T20:15:13.000Z", "updated": "2019-02-11T20:15:13.000Z", "title": "Direct and inverse limits of normed modules", "authors": [ "Enrico Pasqualetto" ], "categories": [ "math.FA" ], "abstract": "The aim of this note is to study existence and main properties of direct and inverse limits in the category of normed $L^0$-modules (in the sense of Gigli) over a metric measure space.", "revisions": [ { "version": "v1", "updated": "2019-02-11T20:15:13.000Z" } ], "analyses": { "subjects": [ "53C23", "13C05", "30L99" ], "keywords": [ "inverse limits", "normed modules", "metric measure space", "main properties", "study existence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }