{ "id": "math/0201283", "version": "v1", "published": "2002-01-29T15:27:36.000Z", "updated": "2002-01-29T15:27:36.000Z", "title": "On the comparison of different notions of geometric categories", "authors": [ "Joerg Schuermann" ], "comment": "11 pages, no figures", "categories": [ "math.AG", "math.LO" ], "abstract": "We explain our notion of a Nash geometric category, which allows an easy comparison between the following different axiomatic notions of geometric categories: o-minimal structures on the real field, analytic geometric categories and X-sets (as defined by van den Dries, Miller and Shiota).", "revisions": [ { "version": "v1", "updated": "2002-01-29T15:27:36.000Z" } ], "analyses": { "subjects": [ "03C64", "14P10", "14P15", "32B20" ], "keywords": [ "comparison", "nash geometric category", "analytic geometric categories", "van den dries", "real field" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......1283S" } } }