{ "id": "1903.00929", "version": "v1", "published": "2019-03-03T15:56:28.000Z", "updated": "2019-03-03T15:56:28.000Z", "title": "Locally small spaces with an application", "authors": [ "Artur Piękosz" ], "comment": "17 pages", "categories": [ "math.GN", "math.CT", "math.LO" ], "abstract": "We develop the theory of locally small spaces in a new simple language and apply this simplification to re-build the theory of locally definable spaces over structures with topologies.", "revisions": [ { "version": "v1", "updated": "2019-03-03T15:56:28.000Z" } ], "analyses": { "subjects": [ "54A05", "18F10", "54B30", "54E99", "18B99" ], "keywords": [ "locally small spaces", "application", "simple language", "simplification" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }