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Articles 2491 - 2520 of 2595

Full-Text Articles in Physical Sciences and Mathematics

Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott Jan 1997

Critical Point Theory In Mathematics And In Mathematical Physics, Raoul Bott

Turkish Journal of Mathematics

No abstract provided.


On Irreducible Simply-Connected 4-Manifolds, Zoltan Szabo Jan 1997

On Irreducible Simply-Connected 4-Manifolds, Zoltan Szabo

Turkish Journal of Mathematics

No abstract provided.


Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen Jan 1997

Casson's Invariant And Seiberg-Witten Gauge Theory, Weimin Chen

Turkish Journal of Mathematics

In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.


Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici Jan 1997

Seiberg-Witten Invariants When Reversing Orientation, Tedi Draghici

Turkish Journal of Mathematics

In this paper, the very first step is taken towards solving the recently proposed conjecture by Kronheimer and Mrowka [KM2] concerning the Casson's invariant of an oriented homology 3-sphere and its Seiberg-Witten Floer homology.


A Lower Bound Of The First Eigenvalue Of Certain Self-Adjoint Elliptic Operators On Manifolds Containing Long Necks, Weimin Chen Jan 1997

A Lower Bound Of The First Eigenvalue Of Certain Self-Adjoint Elliptic Operators On Manifolds Containing Long Necks, Weimin Chen

Turkish Journal of Mathematics

In this note, under certain regularity and transversality conditions we obtain a sharp lower bound of the first eigenvalue for certain self-adjoint elliptic operators on manifolds with long necks. This result is used in the gluing construction of 3-dimensional Seiberg-Witten moduli spaces along T^2. See [C1], [C2].


Algorithms To Disprove The Poincare Conjecture, Colin Rourke Jan 1997

Algorithms To Disprove The Poincare Conjecture, Colin Rourke

Turkish Journal of Mathematics

No abstract provided.


Kirby Calculus In Manifolds With Boundary, Justin Roberts Jan 1997

Kirby Calculus In Manifolds With Boundary, Justin Roberts

Turkish Journal of Mathematics

Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to their common boundary, if there is one.) How are the links related? Kirby's theorem gives the answer when the manifold is S^3, and Fenn and Rourke extended it to the case of any closed orientable 3-manifold, or S^1 \tilde{\times} S^2. The purpose of this note is to give the answer in the general case, using only minor modifications of Kirby's original proof.


A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin Jan 1997

A (--86)-Sphere In The K3 Surface, Sergey Finashin, Grigory Mikhalkin

Turkish Journal of Mathematics

Consider the self-intersection number [\Sigma].[\Sigma] of a 2-dimensional sphere \Sigma embedded into a K3 surface. Since a K3 surface is spin, [\Sigma].[\Sigma] is even and by Gauge theoretical arguments [\Sigma].[\Sigma]\le 0. No other restriction on [\Sigma].[\Sigma] is known. It is a problem 4.105(D) from the Kirby list \cite{K} to determine the possible values of [\Sigma].[\Sigma]. This paper shows that the even numbers between 0 and -86 do appear as [\Sigma].[\Sigma].


The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar Jan 1997

The Hardy -Littlewood-Sobolev Inequality For Non-Isotropic Riesz Potentials, İnan Çinar

Turkish Journal of Mathematics

In this study the inequality of Hardy-Littlewood-Sobolev type are established for non-isotropic generalized Riesz potential depending on \lambda -distance. In this paper we establish analogues of the well known Hardy-Littlewood-Sobolev inequality (see[3]) for Riesz potentials with non-isotropic kernel depended on \lambda distance. Note that different problems for convolution type integrals with kernels, depending on \lambda-distance were considered in [1] and [2].


On The Stability Results For Third Order Differential-Operator Equations, Varga Kalantarov, Aydın Ti̇ryaki̇ Jan 1997

On The Stability Results For Third Order Differential-Operator Equations, Varga Kalantarov, Aydın Ti̇ryaki̇

Turkish Journal of Mathematics

Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.


Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin Jan 1997

Pin-Structures On Surfaces And Quadratic Forms, A. Degtyarev, S. Finashin

Turkish Journal of Mathematics

A correspondence between various Pin-type structures on a compact surface and quadratic (Iinear) forms on its homology is constructed. Sum of structures is defined and expressed in terms of these quadratic forms and in terms of Whitney sum of Spin structures.


Near Ultrafilters And Compactification Of Topological Groups, Mahmut Koçak, Zekeriya Arvasi̇ Jan 1997

Near Ultrafilters And Compactification Of Topological Groups, Mahmut Koçak, Zekeriya Arvasi̇

Turkish Journal of Mathematics

No abstract provided.


On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse Jan 1997

On The Curves Of Constant Breadth In E^4 Space, Abdullah Mağden, Ömer Köse

Turkish Journal of Mathematics

In this paper, the concepts concerning the space curves of constant breadth were extended to E^4 -space. The integral of third curvature of the curve was obtained as (bak) \sigmads = 2k7\pi(k E Z) . In addition, the relation (bak) g(\kappa, \tau, \sigma)ds = O was obtained between the curvatures of curves of constant breadth in E^4 . Key words and phrases: Curvature, Constant Breadth, Integral characterization of Curve, Spherical Curves.


On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya Jan 1997

On A Generalisation Of Lie Ideals In Prime Rings, Arif Kaya

Turkish Journal of Mathematics

Let R be a prime ring of characteristic 3, \sigma and \tau automorphisms of R, U a non zero ( \sigma, \tau) - Lie ideal of R, d a nonzero derivation of R such that \sigmad = d\sigma , \taud = d\tau,d(U) (bak) U, and d^2(U) (bak) Z, the center of R. Then we prove that U (bak) Z. This provides a proof of the Theorem in [4], when char R = 3.


Certain Meromorphically Starlike Functions With Positive And Fixed Second Coefficients, M. K. Aouf, H. E. Darwish Jan 1997

Certain Meromorphically Starlike Functions With Positive And Fixed Second Coefficients, M. K. Aouf, H. E. Darwish

Turkish Journal of Mathematics

In this paper we consider the class \SigmaS*{_o,c} ( \alpha ) consisting of meromorphically starlike univalent functions with positive coefficients and fixed second coefficients. The object of the present paper is to show coefficient estimates and closure theorems for this class. Also, we obtain the radius of convexity for functions belonging to the class \SigmaS*{_o,c} ( \alpha ).


Integral Closure Of An Ideal Relative To A Module And \Delta-Closure, Yücel Tiraş Jan 1997

Integral Closure Of An Ideal Relative To A Module And \Delta-Closure, Yücel Tiraş

Turkish Journal of Mathematics

The aim in this paper is to give the relation between the \Delta-closure of an ideal I in a commutative Noetherian ring R, (see [3]), and the integral closure of the ideal i relative to a Noetherian R-module (see (1.1). Definition) and to give the closure cancellation law


On A Certain Family Of Linear Positive Operators, Ogün Doğru Jan 1997

On A Certain Family Of Linear Positive Operators, Ogün Doğru

Turkish Journal of Mathematics

In this study, a family of linear positive operators, which includes the sequence of linear positive operators built in a paper of A. D. Gadjiev and I. I. Ibragimov and later investigated by B. Wood and P. Radatz, is defined and using the some inequalities proved by P. J. Davis, results related to approximation properties of this family are obtained.


Unique Factorisation For Commutative Rings Without Identity, A. G. Ağargün, C.R. Fletcher Jan 1997

Unique Factorisation For Commutative Rings Without Identity, A. G. Ağargün, C.R. Fletcher

Turkish Journal of Mathematics

This paper concerns the unique factorisation property in commutative rings not necessarily with identity. We give a new definition of irreducibility and associates in a commutative ring with 1 (crwl), and define a UFR R in terms of a monomorphism from R into a crwl. This becomes equivalent to the definition in [3] when R has an identity. We generalize results on direct sums and direct summands. By our definition we have new members of the family of UFR's.


Extension And Separation Of Vector Valued Functions, Zafer Ercan Jan 1997

Extension And Separation Of Vector Valued Functions, Zafer Ercan

Turkish Journal of Mathematics

It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spaces of Banach lattice valued functions.


On Existence Of A Meromorphic Function With Infinitely Many Of Deficient Functions, Halil Ardahan Jan 1997

On Existence Of A Meromorphic Function With Infinitely Many Of Deficient Functions, Halil Ardahan

Turkish Journal of Mathematics

Let {a_n(z) : {a_n(z)}_n^w, 0 do not depend on r,0


The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu Jan 1997

The Linear Mean Value Of The Remainder Term In The Problem Of Asymptotic Behavior Of Eigenfunctions Of The Automorphic Laplacian, Zernişan Emi̇rleroğlu

Turkish Journal of Mathematics

The purpose of this paper is to obtain the estimate for the average mean value of the remainder term of the asymptotic formula for the quadratic mean value of the Fourier coefficients of the eigenfunctions over the discrete spectrum of the automorphic Laplacian.


On Hill's Equation With Piecewise Constant Coefficient, I. Yaslan, G.Sh. Guseinov Jan 1997

On Hill's Equation With Piecewise Constant Coefficient, I. Yaslan, G.Sh. Guseinov

Turkish Journal of Mathematics

In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associated with Hill's equation are investigated in the case of piecewise constant coefficient. As a corollary the asymptotic formula for the lengths of the instability intervals of Hill's equation is derived and it is shown that they increase beyond all bounds. Also, the conditions for coexistence of periodic and semi-periodic solutions are indicated.


A Characterization Of ^-Nc P-Groups, Ali Osman Asar Jan 1997

A Characterization Of ^-Nc P-Groups, Ali Osman Asar

Turkish Journal of Mathematics

In this work, presented is a partial characterization of a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov.


Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş Jan 1997

Immersions Preserved Under Rotations With Totally Reducible Focal Set, Rıdvan Ezentaş

Turkish Journal of Mathematics

In [1] Carter and the author introduced the idea of an immersion f : Mm-+ Rn with totally reducible focal set (TRFS). Such an immersion has the property that, for all p E M, the focal set with base p is a union of hyperplanes in the normal plane to f(M) at f(p) . Here we show that if we take two immersions with TRFS then we can construct new immersions with TRFS. In particular, rotating an immersion with TRFS about an axis gives anew immersion with TRFS.


Quotients Of Real Algebraic Sets Via Finite Groups, Yıldıray Ozan Jan 1997

Quotients Of Real Algebraic Sets Via Finite Groups, Yıldıray Ozan

Turkish Journal of Mathematics

In this paper, we will study finite algebraic group actions on real algebraic sets and compare the topological quotient X/G with the algebraic quotient X/ /G. We will give a different and shorter proof of a result of Procesi and Schwarz, stating that if the order of the group G, acting algebraically on a real algebraic set X, is odd then X/G is equal to X/ /G. In the case of even order groups, we will a give sufficient condition ( and a necessary condition in the case G = Z_2 ) for the X / G to be equal …


Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda Jan 1997

Weight Equations For Binary Linear Codes And Their Applications, Ersan Akyildiz, İsmai̇l Ş. Güloğlu, Masatoshi Ikeda

Turkish Journal of Mathematics

Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.


Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu Jan 1997

Locally Finite Barely Transitive Permutation Group With Almost Nilpotent Point Stabilizers, Mahmut Kuzucuoğlu

Turkish Journal of Mathematics

We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices H : H \cap H^g (g \in G) have a finite upper bound.


About Some Normal Subgroups Of Hecke Groups, İsmail Naci Cangül Jan 1997

About Some Normal Subgroups Of Hecke Groups, İsmail Naci Cangül

Turkish Journal of Mathematics

In this work we study the suucture of some special normal subgroups of Hecke groups. Particwarly those of genus O and 1 are studied by means of the regwar map theory which has been a growing subject in recent years. As a nice application, we calcwate the total number of genus 1 normal subgroups for a given index.


Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu Jan 1997

Nv-P-Groups With Nilpotent Centralizers, Ali Osman Asar, Aynur Yalincaklioğlu

Turkish Journal of Mathematics

In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.


An Application Of Monodromy Groupoid, Osman Mucuk Jan 1997

An Application Of Monodromy Groupoid, Osman Mucuk

Turkish Journal of Mathematics

The monodromy groupoid was first inlioduced by Pradines in [7] and developed by Mucuk in [6] In this paper we give an application of the monodromy groupoid.