• A Coanalytic Menger Group That Is Not Sigma-Compact 

      Tokgöz, Seçil (Scientific Technical Research Council Turkey-Tubitak, 2018)
      Under V = L we construct coanalytic topological subgroups of reals, demonstrating that even for definable groups of reals, selection principles may differ.
    • Evaluation Of Spectrum Of 2-Periodic Tridiagonal-Sylvester Matrix 

      Kilic, Emrah; Arikan, Talha (Scientific Technical Research Council Turkey-Tubitak, 2016)
      The Sylvester matrix was first defined by JJ Sylvester. Some authors have studied the relationships between certain orthogonal polynomials and the determinant of the Sylvester matrix. Chu studied a generalization of the ...
    • Legendrian Torus Knots in Lens Spaces 

      Onaran, Sinem (Scientific Technical Research Council Turkey-Tubitak, 2018)
      In this study, we first classify all topological torus knots lying on the Heegaard torus in lens spaces, and then we study Legendrian representatives of these knots. We classify oriented positive Legendrian torus knots in ...
    • More On Sequential Order Of Compact Scattered Spaces 

      Dow, Alan; Tokgoz, Secil (Scientific Technical Research Council Turkey-Tubitak, 2018)
      The proper forcing axiom is shown to imply that a compact scattered sequential space with scattering height at most omega(1) must have sequential order at most omega.
    • On The Monodromy Of Milnor Open Books 

      Altinok, Selma; Bhupal, Mohan (Scientific Technical Research Council Turkey-Tubitak, 2018)
      We present some techniques that can be used to factorize the monodromy of certain Milnor open books. We also describe a class of Milnor open books for which we can explicitly express the monodromy as a product of Dehn twists.
    • Some Rings For Which The Cosingular Submodule Of Every Module Is A Direct Summand 

      Keskin Tutuncu, Derya; Orhan Ertas, Nil; Smith, Patrick F.; Tribak, Rachid (Scientific Technical Research Council Turkey-Tubitak, 2014)
      The snbmodule (Z)overbar(M) = boolean AND{N vertical bar M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P) if (Z)overbar(M) is a direct summand of M for ...
    • Structural Stability Analysis Of Solutions To The Initial Boundary Value Problem For A Nonlinear Strongly Damped Wave Equation 

      Gur, Sevket; Gulec, Ipek (Scientific Technical Research Council Turkey-Tubitak, 2016)
      In this paper the initial-boundary value problem for a nonlinear strongly damped wave equation is considered. We analyze the structural stability of solutions of the nonlinear strongly damped wave equation with coefficients ...
    • The Generalized Reciprocal Super Catalan Matrix 

      Kilic, Emrah; Arikan, Talha (Scientific Technical Research Council Turkey-Tubitak, 2016)
      The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky ...
    • The Productively Lindelöf Property In The Remainders Of Topological Spaces 

      Tokgoz, Secil (Scientific Technical Research Council Turkey-Tubitak, 2018)
      A topological space X is called productively Lindelof if X x Y is Lindelof for every Lindelof space Y. We study with remainders and investigate topological spaces with productively Lindelof remainders.