{ "id": "2308.06640", "version": "v1", "published": "2023-08-12T20:15:59.000Z", "updated": "2023-08-12T20:15:59.000Z", "title": "Strong Movable Categories and Strong Movability of Topological Spaces", "authors": [ "Pavel S. Gevorgyan", "T. A. Avakyan" ], "comment": "9 pages", "journal": "Journal of Contemporary Mathematical Analysis, 2010, Vol. 45, No. 1, pp. 52--59", "doi": "10.3103/S1068362310010061", "categories": [ "math.AT", "math.CT", "math.GN" ], "abstract": "The paper is devoted to one of the important notions of the shape theory: that of strong movability, which was primarily introduced by K. Borsuk for metrizable compacts. A strong movability criterion is proved for topological spaces, which in particular reveals a new, categorical approach to the strong movability.", "revisions": [ { "version": "v1", "updated": "2023-08-12T20:15:59.000Z" } ], "analyses": { "subjects": [ "54C56", "55P55" ], "keywords": [ "strong movable categories", "topological spaces", "strong movability criterion", "important notions", "shape theory" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }