Now showing items 1-18 of 18

    • A Textural View of The Distinction Between Uniformities and Quasi-Uniformities 

      Ozcag, Selma; Brown, Lawrence A. (Elsevier Science Bv, 2006)
      In this paper the authors consider the interplay between di-uniformities on a texture and a complementation on that texture. It is shown that with each di-uniformity corresponds a second di-uniformity, called its complement. ...
    • Categories of Rough Sets and Textures 

      Diker, Murat (Elsevier Science Bv, 2013)
      It is known that the theories of rough sets and fuzzy sets have successful applications in computing. Textures, as a theoretical model, provide a new perspective for both rough sets and fuzzy sets. Indeed, recent papers ...
    • Complex And Symplectic Structures On Panelled Web 4-Manifolds 

      Kalafat, Mustafa; Arguez, Huelya (Elsevier Science Bv, 2012)
      We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M. Kalafat [1]. In particular, we give infinite families of examples of almost complex but not symplectic and not complex ...
    • Di-Uniformities and Hutton Uniformities 

      Özçağ, Selma; Brown, Lawrence M.; Krsteska, Biljana (Elsevier Science Bv, 2012)
      The authors characterize di-uniformities on a texture (S, J) in the sense of Ozgag and Brown (Di-uniform texture spaces, Appl. Gen. Top. 4(1) (2003), 157-192) in terms of functions on the texturing J. This characterization ...
    • Dicompleteness And Real Dicompactness Of Ditopological Texture Spaces 

      Yildiz, Filiz; Brown, Lawrence M. (Elsevier Science Bv, 2011)
      The authors consider interrelations between the completeness of certain initial diuniformities and the real dicompactness of completely biregular bi-T-2 nearly plain ditopological spaces. Completions and real dicompactifications ...
    • Ditopological Texture Spacesand Intuitionistic Sets 

      Brown, LM; Diker, M (Elsevier Science Bv, 1998)
      In this paper it is shown that the lattice of intuitionistic subsets of a set X in the sense of D. Coker may be represented as a special type of texture space, called an intuitionistic texture on X, and various characterizations ...
    • Interpolating Functions 

      Good, Chris; Kopperman, Ralph; Yildiz, Filiz (Elsevier Science Bv, 2011)
      Let X, Y be sets with quasiproximities (sic)x and (sic)y (where A (sic) B is interpreted as "B isa neighborhood of A"). Let f.g : X -> Y be a pair of functions such that whenever C (sic)y D. then f(-1) vertical bar C ...
    • Lebesgue and Co-Lebesgue Di-Uniform Texture Spaces 

      Oezcag, Selma (Elsevier Science Bv, 2009)
      The author introduces the notions of Lebesgue di-uniformity and co Lebesgue di-uniformity and investigates the relationship between a Lebesgue quasi uniformity on X and the corresponding Lebesgue di-uniformity on the ...
    • One-Dimensional Rings Of Finite Cohen-Macaulay Type 

      Cimen, N (Elsevier Science Bv, 1998)
      Let R be a commutative one-dimensional reduced local Noetherian ring whose integral closure (R) over tilde (in its total quotient ring) is a finitely generated R-module. We settle the last remaining unkown case of the ...
    • Plain Ditopological Texture Spaces 

      Tiryaki, Ismail U.; Brown, Lawrence M. (Elsevier Science Bv, 2011)
      Using the characterization of plain textures in terms of posets given by Mustafa Demirci (M. Demirci, Textures and C-spaces, Fuzzy Sets and Systems 158 (11) (2007) 1237-1245), the authors consider the important class of ...
    • Real Dicompact Textures 

      Yildiz, Filiz; Brown, Lawrence M. (Elsevier Science Bv, 2009)
      A notion of real compactness for completely biregular bi-T-2 ditopological texture spaces is defined and studied under the name real dicompactness. In particular it is shown that real dicompact spaces are nearly plain ...
    • Real Dicompactifications of Ditopological Texture Spaces 

      Yildiz, Filiz; Brown, Lawrence M. (Elsevier Science Bv, 2009)
      Real dicompactifications and dicompactifications of a ditopological texture space are defined and studied. Section 2 considers nearly plain extensions of a ditopological texture space (S, S, iota, kappa). Spaces that possess ...
    • Selection Properties Of Texture Structures 

      Kocinac, Ljubisa D. R.; Ozcag, Selma (Elsevier Science Bv, 2015)
      The aim of this paper is to begin with study of selection principles in texture and ditopological texture spaces and to establish relationships between these selection principles and other covering properties of texture ...
    • Semi-Sequentially Normal Bitopological Spaces 

      BROWN, LM (Elsevier Science Bv, 1992)
      In this paper we introduce a weak form of full normality for bitopological spaces, and consider its relationship to pairwise paracompactness in the sense of S. Romaguera and J. Marin, and to the notion of sigma-bicushioned ...
    • Sequentially Dinormal Ditopological Texture Spaces And Dimetrizability 

      Brown, Lawrence M.; Erturk, Riza; Irkad, Ahmet (Elsevier Science Bv, 2008)
      The authors extend the bitopological notion of sequential normality to ditopological texture spaces, and use this notion to state and prove a (pseudo-)dimetrizability theorem. (C) 2008 Elsevier B.V. All rights reserved.
    • Strong Lifting Splits 

      Alkan, M.; Nicholson, W. K.; Ozcan, A. C. (Elsevier Science Bv, 2011)
      The concept of an enabling ideal is introduced so that an ideal I is strongly lifting if and only if it is lifting and enabling. These ideals are studied and their properties are described. It is shown that a left duo ring ...
    • The Prime Dicompletion Of A Di-Uniformity On A Plain Texture 

      Ozcag, Selma; Brown, Lawrence M. (Elsevier Science Bv, 2011)
      Working within a plain texture (S, S), the authors construct a completion of a dicovering uniformity v on (S, S) in terms of prime S-filters. In case v is separated, a separated completion is then obtained using the ...
    • Versions Of Separability In Bitopological Spaces 

      Kocinac, Ljubisa D. R.; Ozcag, Selma (Elsevier Science Bv, 2011)
      We study selective versions of separability in bitopological spaces. In particular, we investigate these properties in function spaces endowed with the topology of pointwise convergence and the compact-open topology. (C) ...