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Articles 1 - 30 of 40
Full-Text Articles in Mathematics
Countable Dense Homogeneous Bıtopologıcal Spaces, Abdalla Tallafha, Adnan Al-Bsoul, Ali̇ Ahmad Fora
Countable Dense Homogeneous Bıtopologıcal Spaces, Abdalla Tallafha, Adnan Al-Bsoul, Ali̇ Ahmad Fora
Turkish Journal of Mathematics
In this paper we shall introduce the concept of being countable dense homogeneous bitopological spaces and define several kinds of this concept. We shall give some results concerning these bitopological spaces and their relations. Also, we shall prove that all of these bitopological spaces satisfying the axioms p-T_0 and p-T_1.
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Generalized Solutions Of A Class Of Linear And Quasi-Linear Degenerated Hyperbolic Equations, Rossitza Semerdjieva
Turkish Journal of Mathematics
The equation $L(u):=k(y)u_{xx}-\partial_y(\ell(y)u_y)+r(x,y)u=f(x,y,u),$ where $k(y)>0, \ell(y)>0$ for $y>0,k(0)=\ell(0)=0$ and $lim_{y\rightarrow 0}k(y)/\ell(y)$ exists, is strictly hyperbolic for $y>0$ and its order degenerates on the line $y=0$. We consider the boundary value problem $Lu=f(x,y,u)$ in $G, u\mid_{AC}=0$, where $G$ is a simply connected domain in $R^2$ with piecewise smooth boundary $\partial G=AB\cup AC\cup BC; AB=\{(x,0): 0\leq x\leq 1\}, AC : x=F(y) =\int_0^y(k(t)/\ell (t))^{1/2}dt$ and $BC: x=1-F(y)$ are characteristic curves. The existence and uniqueness of a generalized solution to this problem are proved in the linear case (where $f=f(x,y));$ the nonlinear case is treated by using the Schauder Fixed …
Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan
Virtual Neighborhoods And Pseudo-Holomorphic Curves, Yongbin Ruan
Turkish Journal of Mathematics
No abstract provided.
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Structure Of M-Dimensional Implicitly Defined Surfaces In N-Dimensional Euclidean Space E_N, Alla Borisovna Kotlyar
Turkish Journal of Mathematics
We consider the structure of the surface in the given point, if we vary all its normals in this point.
A Fake Cusp And A Fishtail, Selman Akbulut
A Fake Cusp And A Fishtail, Selman Akbulut
Turkish Journal of Mathematics
No abstract provided.
Canonical Framings For 3 -Manifolds, Rob Kirby, Paul Melvin
Canonical Framings For 3 -Manifolds, Rob Kirby, Paul Melvin
Turkish Journal of Mathematics
No abstract provided.
Normal Subgroups And Elements Of H^{'}(\Lambda_Q), İsmai̇l Naci̇ Cangül
Normal Subgroups And Elements Of H^{'}(\Lambda_Q), İsmai̇l Naci̇ Cangül
Turkish Journal of Mathematics
In this study, we consider the normal subgroups of H^{'}(\lambda_q), where H(\lambda_q) denotes the Hecke groups. After recalling some results from [2], particularly on the group structure and on the relations with the power subgroups of H(\lambda_q), the even subgroup H_e(\lambda_q) of H(\lambda_q) is discussed. It is shown that H^{'}(\lambda_q) is a normal subgroup of H_e(\lambda_q) with index q. For this reason each subgroup of H^{'}(\lambda_q) consists of only even elements. H^{''}(\lambda_q) is also considered and it is concluded that it is the normal subgroup of H^{'}(\lambda_q) generated by all commutators of the elements of H^{'}(\lambda_q). Using the Kurosh subgroup …
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Alternative Polynomial And Holomorphic Dunford-Pettis Properties, Walden Freedman
Turkish Journal of Mathematics
Alternatives to the Polynomial Dunford-Pettis property and the Holomorphic Dunford-Pettis property, called the PDP1 and HDP1 properties, respectively, are introduced. These are shown to be equivalent to the DP1 property, an alternative Dunford-Pettis property previously introduced by the author, thus mirroring the equivalence of the three original properties.
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
A Class Of Banach Algebras Whose Duals Have The Schur Property, H. Mustafayev, A. Ülger
Turkish Journal of Mathematics
Call a commutative Banach algebra $A$ a $\gamma$-algebra if it contains a bounded group $\Gamma$ such that $\overline{aco(\Gamma)}$ contains a multiple of the unit ball of $A$. In this paper, first by exhibiting several concrete examples, we show that the class of $\gamma$-algebras is quite rich. Then, for a $\gamma$-algebra $A$, we prove that $A^{\star}$ has the Schur property iff the Gelfand spectrum $\sum$ of $A$ is scattered iff $A^{\star}=ap(A)$ iff $A^{\star}=\overline{Span(\sum)}$.
Masatoshi Gündüz İkeda, Mehpare Bi̇lhan
Masatoshi Gündüz İkeda, Mehpare Bi̇lhan
Turkish Journal of Mathematics
No abstract provided.
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
On The Artin Conductor F_{Artin}(\Chi) Of A Character \Chi Of Gal (E/K) I: Basic Definitions, Kazim İlhan İkeda
Turkish Journal of Mathematics
Let $K$ be a local field with finite residue class field and $E$ a finite Galois extension over $K$. In this paper, we study the Artin conductor $\frak f_{\rm Artin}(\chi_\rho)$ of a character $\chi_\rho$ associated to a representation $\rho:\mbox{Gal}(E/K)\rightarrow GL(V)$ of $\mbox{Gal}(E/K)$ with metabelian kernel $\mbox{ker}(\rho)$. In order to do so, we first review the Artin character $a_{\mbox{Gal}(E/K)}$ of $\mbox{Gal}(E/K)$ and review the metabelian local class field theory. We finally propose the definition of the conductor $\frak f(E/K)$ of a metabelian extension $E/K$ in the sense of Koch-de Shalit local class field theory, and compute $\frak f_{\rm Artin}(\chi_\rho)$ under a …
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
The Structure Of A Solvmanifold's Heegaard Splittings, Darly Cooper, Martin Scharlemann
Turkish Journal of Mathematics
No abstract provided.
Planar Linkages And Algebraic Sets, Henry C. King
Planar Linkages And Algebraic Sets, Henry C. King
Turkish Journal of Mathematics
No abstract provided.
A Program To Search For Homotopy 3-Spheres, Michael Greene, Colin Rouke
A Program To Search For Homotopy 3-Spheres, Michael Greene, Colin Rouke
Turkish Journal of Mathematics
No abstract provided.
A New Approach To Immersion Theory, Colin Rourke, Brian Sanderson
A New Approach To Immersion Theory, Colin Rourke, Brian Sanderson
Turkish Journal of Mathematics
No abstract provided.
Seiberg-Witten Invariants Of Mapping Tori,Symplectic Fixed Points, And Lefschetz Numbers, Dietmar A. Salamon
Seiberg-Witten Invariants Of Mapping Tori,Symplectic Fixed Points, And Lefschetz Numbers, Dietmar A. Salamon
Turkish Journal of Mathematics
No abstract provided.
Simply Connected Symplectic 4-Manifolds Withpositive Signature, Andras I. Stipsicz
Simply Connected Symplectic 4-Manifolds Withpositive Signature, Andras I. Stipsicz
Turkish Journal of Mathematics
No abstract provided.
On Symplectic Fillings Of 3-Manifolds, Paola Lisca
On Symplectic Fillings Of 3-Manifolds, Paola Lisca
Turkish Journal of Mathematics
No abstract provided.
Left Adjoint Of Pullback Cat^1 -Groups, Murat Alp
Left Adjoint Of Pullback Cat^1 -Groups, Murat Alp
Turkish Journal of Mathematics
In [1] we define the pullback Cat^1-groups and showed that the category of pullback Cat^1-groups is equivalent to the category of pullback crossed modules. In this paper we proved that the pullback Cat^1-group has a left adjoint which is the induced Cat^1-group. We also give the left adjoint construction.
On The Boundedness Of Integral Operators, İsmai̇l Eki̇nci̇oğlu, Isroil A. Ikromov
On The Boundedness Of Integral Operators, İsmai̇l Eki̇nci̇oğlu, Isroil A. Ikromov
Turkish Journal of Mathematics
In this paper, we consider integal operators defined by kernel functions. It is well known the boundedness of such kind of operators as Shur Lemma type statements. But, the norm of operators was estimated by two integrals of kernel function. We obtain estimation of operators norm by one integral of kernel function.
Some Asymptotic Estimates For The Instability Intervals Of Hill's Equation, Haskiz Coşkun
Some Asymptotic Estimates For The Instability Intervals Of Hill's Equation, Haskiz Coşkun
Turkish Journal of Mathematics
In this study, some asymptotic estimates for the length of the instability intervals of Hill's equation, y''(t)+(\lambda -q(t))y(t)=0, are derived by means of an auxiliary eigenvalue problem under various assumptions on the Fourier coefficients of the potential q.
Geodesics In A Tensor Bundle, Abdullah Kopuzlu, Ari̇f A. Salimov
Geodesics In A Tensor Bundle, Abdullah Kopuzlu, Ari̇f A. Salimov
Turkish Journal of Mathematics
The main purpose of the present paper is to study geodesics in a tensor bundle T^{p}_q(M_n) with respect to the horizontal lift ^H\nabla of an affine connection \nabla .
A Stone's Representation Theorem And Some Applications, Eissa D. Habil
A Stone's Representation Theorem And Some Applications, Eissa D. Habil
Turkish Journal of Mathematics
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a \sigma-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} for which (\sum, \cup, \cap) and ({\cal C}({\cal K}), \cup ,\cap), where {\cal C}({\cal K}) denotes the set of all clopen subsets of {\cal K}, are isomorphic as Boolean algebras. Furthermore, by defining appropriate joins and meets of countable families in {\cal C}({\cal K}), we show that such an isomorphism preserves \sigma-completeness. Then, as a consequence of this result, we obtain the result that if ba(X,\sum) …
Univalent Harmonic Mappings Onto Half Planes, Meti̇n Öztürk
Univalent Harmonic Mappings Onto Half Planes, Meti̇n Öztürk
Turkish Journal of Mathematics
We consider the class S_H(D,\Omega ) of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a_0, f_{\bar z}(0)=0a,\ a\in {\Bbb R}\}. In particularly, we describe the closure \overline{S_H(D,\Omega )} of S_H(D,\Omega ) and characterize its extreme points, as well as sharp estimates for coefficients and distortion theorems.
Criteria Of Le Page Type In Involutive Banach Algebras, Abdellah El Kinani, Mohamed Oudadess
Criteria Of Le Page Type In Involutive Banach Algebras, Abdellah El Kinani, Mohamed Oudadess
Turkish Journal of Mathematics
The Le Page inequality in Banach algebras is \parallel xy \parallel\leq\alpha\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself and commutativity results.^1
Segal Algebra As An Ideal In Its Second Dual Space, Heybet S. Mustafayev
Segal Algebra As An Ideal In Its Second Dual Space, Heybet S. Mustafayev
Turkish Journal of Mathematics
For a locally compact group G, let S(G) be a symmetric Segal algebra. We prove that S(G) is an ideal in its second dual space if and only if G is compact, where the second dual is equipped with an Arens multiplication.
Some Results On Space-Like Line Congruences And Their Space-Like Parameter Ruled Surface, E. Özyilmaz
Some Results On Space-Like Line Congruences And Their Space-Like Parameter Ruled Surface, E. Özyilmaz
Turkish Journal of Mathematics
Using dual vectors, space-like ruled surfaces was introduced in [2]. In this paper, we define space-like line congruence and their space-like parameter ruled surfaces {\mathbf R_{11}(t)} and {\mathbf R_{21}(t)} of R_1^3. Then, by choosing space-like parameter ruled surfaces as space-like principle ruled surfaces, we obtain some relations among the magnitudes of space-like ruled surfaces {\mathbf R_1(t)}, {\mathbf R_{11}(t)}.
Cycloidal Normal Subgroups Of Hecke Groups Of Finite Index, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Cycloidal Normal Subgroups Of Hecke Groups Of Finite Index, İsmai̇l Naci̇ Cangül, Osman Bi̇zi̇m
Turkish Journal of Mathematics
Cycloidal normal subgroups, that is, subgroups with only one cusp, of finite index of Hecke groups, which have been introduced by E. Hecke, and can be thought of as some kind of generalisation of the well-known modular group, are studied. It is shown that they correspond to cyclic quotients of Hecke groups and therefore have non-compact associated Riemann surfaces with a cusp. Finally, their total number have been formulated.
Augmented Noetherian Graded Modules, Mashhoor Refai̇
Augmented Noetherian Graded Modules, Mashhoor Refai̇
Turkish Journal of Mathematics
Let $G$ be a multiplicative group with identity $e$, and let $R$ be an associative $G$-graded ring with unity 1. In this paper we study the augmented graded Noetherian modules and try to give some relationships between the Noetherian modules in the category $R-Agr$ and the Noetherian modules in the category $R_e-gr$.
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Tyurina Components And Rational Cycles For Rational Singularities, Meral Tosun
Turkish Journal of Mathematics
In this paper, we give a geometric proof of Pinkham's theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of the Tyurina components of the exceptional divisor and of the points of blowing-up surface of a rational singularity.