TY - JOUR T1 - DI-EXTREMITIES ON TEXTURES TT - DI-EXTREMITIES ON TEXTURES AU - Yildiz, G. AU - Ertürk, R. PY - 2009 DA - March JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 243 EP - 257 VL - 38 IS - 3 LA - en AB - In this paper, the authors adapt the notion of proximity to the point free setting of textures and investigate the relationship with dimetrics and di-uniformities. KW - Texture Spaces KW - Ditopology KW - Proximity KW - Di-extremity KW - Di-uniformity KW - Dimetric CR - Brown, L. M. Ditopological fuzzy structures I, Fuzzy Systems and A.I. Mag. 3 (1), 1993. CR - Brown, L. M. Ditopological fuzzy structures II, Fuzzy Systems and A.I. Mag. 3 (2), 1993. CR - Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98, 217–224, 1998. CR - Brown, L. M. and Ert¨urk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2), 227–236, 2000. CR - Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology I: Basic concepts, Fuzzy Sets and Systems 147, 171–199, 2004. CR - Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology II: Topological Considerations, Fuzzy Sets and Systems 147, 201–231, 2004. CR - Brown, L. M., Ert¨urk, R. and Dost, S¸. Ditopological texture spaces and fuzzy topology III: Seperation axioms, Fuzzy Sets and Systems 157, 1886–1912, 2006. CR - Efremovic, V. A. The geometry of proximity, Mat. Sb. 31 (73), 189–200, 1952 (in Russian). CR - Ert¨urk, R. Seperation axioms in fuzzy topology characterized by bitopologies, Fuzzy Sets and Systems 58, 206–209, 1993. CR - Leader, S. On duality in proximity spaces, Am. math. Soc. 13, 518–523, 1963. CR - Naimpally, S. A. and Warrack, B. D. Proximity spaces (Comb. Univ., 1970). CR - ¨Oz¸caˆg, S. and Brown, L. M. Di-uniform texture spaces, Appl. General Topol. 4 (1), 157–192, ¨Oz¸caˆg, S. and Brown, L. M. A textural view of the distinction between uniformities and quasi uniformities, Topology and its applications 153, 3294–3307, 2006. CR - Pervin, W. J. Quasi-proximities for topological spaces, Math. Annalen. 150 (73), 325–326, UR - https://dergipark.org.tr/en/pub/hujms/issue//101538 L1 - https://dergipark.org.tr/en/download/article-file/86785 ER -