{ "id": "1201.2571", "version": "v1", "published": "2012-01-12T14:13:39.000Z", "updated": "2012-01-12T14:13:39.000Z", "title": "Basic Subtoposes of the Effective Topos", "authors": [ "Sori Lee", "Jaap van Oosten" ], "comment": "26 pages", "categories": [ "math.LO" ], "abstract": "We employ a new tool (sights) to investigate local operators in the Effective Topos. A number of new such local operators is analyzed using this machinery. Moreover, we investigate a local operator defined in the thesis of A. Pitts, and establish that its corresponding subtopos satisfies true arithmetic.", "revisions": [ { "version": "v1", "updated": "2012-01-12T14:13:39.000Z" } ], "analyses": { "subjects": [ "03D28", "18B25" ], "keywords": [ "effective topos", "basic subtoposes", "corresponding subtopos satisfies true arithmetic", "local operator" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable" } } }