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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 3

DI-EXTREMITIES ON TEXTURES

R. ERTÜRK
G. YILDIZ
Sayfa
243–257
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Texture Spaces · Ditopology · Proximity

Abstract

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.

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Bu Makaleye Atıf Yap

ERTÜRK, R., YILDIZ, G. (2022). DI-EXTREMITIES ON TEXTURES. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 3, 243–257. https://ajindex.com/articles/530712

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Kaynakça (11)

  1. Brown, L. M. Ditopological fuzzy structures I, Fuzzy Systems and A.I. Mag. 3 (1), 1993.
  2. Brown, L. M. Ditopological fuzzy structures II, Fuzzy Systems and A.I. Mag. 3 (2), 1993.
  3. Brown, L. M. and Diker, M. Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98, 217–224, 1998.
  4. Brown, L. M. and Ert¨urk, R. Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2), 227–236, 2000.
  5. 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.
  6. 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.
  7. 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.
  8. Efremovic, V. A. The geometry of proximity, Mat. Sb. 31 (73), 189–200, 1952 (in Russian). Ert¨urk, R. Seperation axioms in fuzzy topology characterized by bitopologies, Fuzzy Sets and Systems 58, 206–209, 1993.
  9. Leader, S. On duality in proximity spaces, Am. math. Soc. 13, 518–523, 1963.
  10. Naimpally, S. A. and Warrack, B. D. Proximity spaces (Comb. Univ., 1970). ¨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.
  11. Pervin, W. J. Quasi-proximities for topological spaces, Math. Annalen. 150 (73), 325–326,