{ "id": "math/0505152", "version": "v4", "published": "2005-05-09T17:57:23.000Z", "updated": "2006-01-19T15:07:10.000Z", "title": "T-homotopy and refinement of observation (I) : Introduction", "authors": [ "Philippe Gaucher" ], "comment": "Introductory paper for a series of papers about refinement of observation modelling T-homotopy ; 5 figures ; 9 pages ; to appear in ENTCS", "journal": "Electronic Notes in Theoretical Computer Science vol. 230, pp 103-110, 2009", "doi": "10.1016/j.entcs.2009.02.019", "categories": [ "math.AT", "math.CT" ], "abstract": "This paper is the extended introduction of a serie of papers about modelling T-homotopy by refinement of observation. The notion of T-homotopy equivalence is discussed. A new one is proposed and its behaviour with respect to other construction in dihomotopy theory is explained.", "revisions": [ { "version": "v4", "updated": "2006-01-19T15:07:10.000Z" } ], "analyses": { "subjects": [ "55P99", "68Q85" ], "keywords": [ "observation", "refinement", "t-homotopy equivalence", "dihomotopy theory" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5152G" } } }