BibTex RIS Kaynak Göster

HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND

Yıl 2018, Cilt: 67 Sayı: 1, 293 - 309, 01.02.2018
https://doi.org/10.1501/Commua1_0000000851

Öz

The author consider hyperspaces in the setting of textures and ditopological texture spaces. According to that, the de…nitions of hypertexture,plain hypertexture and hyperspace of ditopological texture space are presented.Then the author obtained some properties of hypertextures in the categoricalrespect and give some examples of hypertextures

Kaynakça

  • L. M. Brown, Ditopological fuzzy structure I, Fuzzy Systems and A.I. Mag 3 (1) (1993).
  • L. M. Brown, Ditopological fuzzy structure II, Fuzzy Systems and A.I. Mag 3 (2) (1993).
  • L. M. Brown, Quotients of textures and of ditopological texture spaces, Topology Proceedings (2) (2005), 337–368.
  • L. M. Brown and M. Diker, Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98 (1998), 217–224.
  • L. M. Brown and R. Ertürk, Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2) (2000), 227–236.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2) (2004), 171–199.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, II. Topological Considerations, Fuzzy Sets and Systems 147 (2) (2004), 201–231.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, III. Separation Axioms, Fuzzy Sets and Systems 157 (2006), 1886–1912.
  • B. S. Burdick, Separation Properties of the Asymmetric Hyperspace of a Bitopological Space (Proceedings of the Tennessee Topology Conference, P. R. Misra and M. Rajagopalan, eds., World Scienti…c, Singapore, 1997).
  • B. S. Burdick, Compactness and sobriety in bitopological spaces, Topology Proceedings 22 (2) (1997), 43–61.
  • A. Illanes and S. B. Nadler, Jr. Hyperspaces: Fundamentals and Recent Advances (Mono- graphs and Textbooks in Pure and Applied Mathematics 216, Marcel Dekker, Inc., New York, Basel, 1999).
  • J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71–89.
  • S. Özça¼g and L. M. Brown, Di-uniform texture spaces, Applied General Topology 4 (1), (2003), 157–192.
  • S. Özça¼g and L. M. Brown, A textural view of the distinction between uniformities and quasi- uniformities, Topology and its Applications, 153 (2006), 3294–3307.
  • ·Ismail U. Tiryaki and L. M. Brown Plain Ditopological Texture Spaces, Topology and its Applications 158 (15) (2011), 2005–2015.
  • F. Yıldız and L. M. Brown, Categories of dicompact bi-T2texture spaces and a Banach-Stone theorem, Quaestiones Mathematicae 30 (2007), 167–192.
  • F. Yıldız and L. M. Brown, Real dicompact textures, Topology and its Applications, 156 (11), –1984.
  • F. Yıldız and L. M. Brown, Real dicompacti…cations of ditopological texture spaces, Topology and its Applications 156 (18) (2009), 3041–3051.
  • F. Yıldız and L. M. Brown, Extended real dicompactness and an application to Hutton spaces, Fuzzy Sets and Systems, 227 (2013), 74–95.
  • Current address : ·Ismail U. Tiryaki: Abant ·Izzet Baysal University, Faculty of Science and Letters, Department of Mathematics, Bolu, Turkey. E-mail address : ismail@ibu.edu.tr ORCID: http://orcid.org/0000-0003-3531-8150
Yıl 2018, Cilt: 67 Sayı: 1, 293 - 309, 01.02.2018
https://doi.org/10.1501/Commua1_0000000851

Öz

Kaynakça

  • L. M. Brown, Ditopological fuzzy structure I, Fuzzy Systems and A.I. Mag 3 (1) (1993).
  • L. M. Brown, Ditopological fuzzy structure II, Fuzzy Systems and A.I. Mag 3 (2) (1993).
  • L. M. Brown, Quotients of textures and of ditopological texture spaces, Topology Proceedings (2) (2005), 337–368.
  • L. M. Brown and M. Diker, Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems 98 (1998), 217–224.
  • L. M. Brown and R. Ertürk, Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Sets and Systems 110 (2) (2000), 227–236.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147 (2) (2004), 171–199.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, II. Topological Considerations, Fuzzy Sets and Systems 147 (2) (2004), 201–231.
  • L. M. Brown, R. Ertürk and ¸S. Dost, Ditopological texture spaces and fuzzy topology, III. Separation Axioms, Fuzzy Sets and Systems 157 (2006), 1886–1912.
  • B. S. Burdick, Separation Properties of the Asymmetric Hyperspace of a Bitopological Space (Proceedings of the Tennessee Topology Conference, P. R. Misra and M. Rajagopalan, eds., World Scienti…c, Singapore, 1997).
  • B. S. Burdick, Compactness and sobriety in bitopological spaces, Topology Proceedings 22 (2) (1997), 43–61.
  • A. Illanes and S. B. Nadler, Jr. Hyperspaces: Fundamentals and Recent Advances (Mono- graphs and Textbooks in Pure and Applied Mathematics 216, Marcel Dekker, Inc., New York, Basel, 1999).
  • J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71–89.
  • S. Özça¼g and L. M. Brown, Di-uniform texture spaces, Applied General Topology 4 (1), (2003), 157–192.
  • S. Özça¼g and L. M. Brown, A textural view of the distinction between uniformities and quasi- uniformities, Topology and its Applications, 153 (2006), 3294–3307.
  • ·Ismail U. Tiryaki and L. M. Brown Plain Ditopological Texture Spaces, Topology and its Applications 158 (15) (2011), 2005–2015.
  • F. Yıldız and L. M. Brown, Categories of dicompact bi-T2texture spaces and a Banach-Stone theorem, Quaestiones Mathematicae 30 (2007), 167–192.
  • F. Yıldız and L. M. Brown, Real dicompact textures, Topology and its Applications, 156 (11), –1984.
  • F. Yıldız and L. M. Brown, Real dicompacti…cations of ditopological texture spaces, Topology and its Applications 156 (18) (2009), 3041–3051.
  • F. Yıldız and L. M. Brown, Extended real dicompactness and an application to Hutton spaces, Fuzzy Sets and Systems, 227 (2013), 74–95.
  • Current address : ·Ismail U. Tiryaki: Abant ·Izzet Baysal University, Faculty of Science and Letters, Department of Mathematics, Bolu, Turkey. E-mail address : ismail@ibu.edu.tr ORCID: http://orcid.org/0000-0003-3531-8150
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

İsmail Tiryaki Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 67 Sayı: 1

Kaynak Göster

APA Tiryaki, İ. (2018). HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 293-309. https://doi.org/10.1501/Commua1_0000000851
AMA Tiryaki İ. HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2018;67(1):293-309. doi:10.1501/Commua1_0000000851
Chicago Tiryaki, İsmail. “HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, sy. 1 (Şubat 2018): 293-309. https://doi.org/10.1501/Commua1_0000000851.
EndNote Tiryaki İ (01 Şubat 2018) HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 293–309.
IEEE İ. Tiryaki, “HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 67, sy. 1, ss. 293–309, 2018, doi: 10.1501/Commua1_0000000851.
ISNAD Tiryaki, İsmail. “HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (Şubat 2018), 293-309. https://doi.org/10.1501/Commua1_0000000851.
JAMA Tiryaki İ. HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:293–309.
MLA Tiryaki, İsmail. “HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 67, sy. 1, 2018, ss. 293-09, doi:10.1501/Commua1_0000000851.
Vancouver Tiryaki İ. HYPERSPACES OF DITOPOLOGICAL TEXTURE SPACES AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):293-309.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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