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1997

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Articles 151 - 180 of 240

Full-Text Articles in Mathematics

An Invariant Of Basic Sets Of Smale Flows, Michael C. Sullivan Jan 1997

An Invariant Of Basic Sets Of Smale Flows, Michael C. Sullivan

Articles and Preprints

We consider one-dimensional flows which arise as hyperbolic invariant sets of a smooth flow on a manifold. Included in our data is the twisting in the local stable and unstable manifolds. A topological invariant sensitive to this twisting is obtained.

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Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith Jan 1997

Fibonacci Sequences In Finite Nilpotent Groups, Ramazan Di̇ki̇ci̇, Geoff C. Smith

Turkish Journal of Mathematics

We have proved that, for the 3-step Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 3, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step Fibonacci sequence in the field GF(p).

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An Introduction To Topological Quantum Field Theories, Michael Atiyah Jan 1997

An Introduction To Topological Quantum Field Theories, Michael Atiyah

Turkish Journal of Mathematics

No abstract provided.

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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.

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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.

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Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan Jan 1997

Seiberg-Witten \`{A} La Furuta And Genus Bounds For Classes With Divisibility, Jim Bryan

Turkish Journal of Mathematics

No abstract provided.

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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.

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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.

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Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak Jan 1997

Seiberg-Witten Equations On R^8, Ayşe Hümeyra Bi̇lge, Tekin Dereli̇, Şahin Koçak

Turkish Journal of Mathematics

We show that there are no nontrivial solutions of the Seiberg-Witten equations on R^8 with constant standard {spin}^c structure.

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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].

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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.

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Complex Conjugation Equivariant Topology Of Complex Surfaces, Sergey Finashin Jan 1997

Complex Conjugation Equivariant Topology Of Complex Surfaces, Sergey Finashin

Turkish Journal of Mathematics

Suppose X is a non-singular complex surface defined over \R, which is a complete intersection constructed by the method of a small perturbation, and Y=X/\conj is its quotient by the complex conjugation \conj\: X\to X. Assume that \conj has a fixed point. Then Y is completely decomposable, i.e., splits into a connected sum \#_n \Cp^2\#_m\barCP^2 or \#_n(S^2\!\times\! S^2).

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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].

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Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar Jan 1997

Nc-P-Groups Satisfying The Normalizer Condition, Ali Osman Asar

Turkish Journal of Mathematics

Let G be a perfect locally nilpotent p-group in which every proper subgroup is nilpotent-by-Chernikov. It is shown that in G/Z(G) every proper subgroup is a Chernikov extension of a nilpotent subgroup Of finite exponent (Theorem 1). This resut is then used to give a characterization of G if, in addition, it satisfies the normalizer condition (Theorem 2).

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The Rank And The Crank Modulo 5, A. Bülent Eki̇n Jan 1997

The Rank And The Crank Modulo 5, A. Bülent Eki̇n

Turkish Journal of Mathematics

Let p(n) denote the number of partitions of n . Ramanujan's partition congruences are p(5n + 4) , p(7n + 5) and p(11n + 6) = mod 5, 7, and 11, respectively. These have been proved in number of ways. Atkin and Swinnerton-Dyer proved the congruences and some more relations about partition İn the case of mod5 and 7 in terms of rank, Garvan proved them in three cases in terms of crank. In this study, we give an another proof of their results in the case of mod5 by using the theory of modular forms. Although our method is …

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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.

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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.

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Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun Jan 1997

Differentiable Functions And The Generators On A Hilbert-Lie Group, Erdal Coşkun

Turkish Journal of Mathematics

A convolution semigroup plays an important role İn the theory of probability measure on Lie groups. The basic problem is that one wants to express a semigroup as a Lévy-Khinckine formula. If (\mu_t)_{t\epsilonR*_+} is a continuous semigroup of probability + measures on a Hilbert-Lie group G, then we define T{\mu_t}f:=\integral f_a\mu_t(da) (f\epsilonC_u(G),t>0 It is apparent that (\mu_t)_t{t\epsilonR*_+} is a contİnuous operator semigroup on the space + C_u ( G) with the İnfinitesimal generator N. The generatİng functional A of this semigroup is defined by Aƒ := Iim_t-->0 1/t(T_{\mu_t}f(e) - f(e). We have the problem of consliuction of a …

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The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver Jan 1997

The Study Of The Level Zero Crossing Time Of A Semi-Markovian Random Walk With Delaying Screen, Tahir A. Khaniev, İhsan Ünver

Turkish Journal of Mathematics

In this study, a semi-Markovian random walk with delaying screen at (\beta > O and the first crossing time ('\gamma1) of the zero level of this process are constructed. Furthermore, the distribution function with its Laplace transform, expected value and variance of random variable (\gamma1) are calculated. In addition to these, a formula for the higher order moments of ('\gamma1) is given.

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On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu Jan 1997

On Coincidence Points Of Densifying Mappings, M. S. Khan, Z. Q. Liu

Turkish Journal of Mathematics

A coincidence point theorem for anew class of densifying mappings is obtained. Our result generalizes many previously known theorems and can be regarded as an extension of Jungck's fixed point theorem for densifying mappings. Key words and phases: complete metric space, common fixed points, densifying mappings, commuting mappings.

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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.

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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.

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On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin Jan 1997

On One Sided (\Sigma, \Tau)-Lie Ideals In Prime Rings, Neşet Aydin

Turkish Journal of Mathematics

In this paper, we proved some results for one-sided (\sigma, \tau)-Lie ideals in prime rings.

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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 ).

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Characterization Of Some Rings By Functor Z*(.), Ayşe Çiğdem Özcan, Abdullah Harmanci Jan 1997

Characterization Of Some Rings By Functor Z*(.), Ayşe Çiğdem Özcan, Abdullah Harmanci

Turkish Journal of Mathematics

Let X = {M : Z*(M) = 0} and X* = {M : Q ]]] Keywords:

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An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe Jan 1997

An Application Of Linear Topological Invariants, Bora Arslan, Mefharet Kocatepe

Turkish Journal of Mathematics

We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such an isomorphism, then any factor on the left is nearly isomorphic to the corresponding factor on the right. Key Words and Phrases: Linear topological invariants, Dragilev space, Dragilev function, rapidly increasing function.

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Arithmetic Of A Semigroup Of Series In Legendre Functions Of The Second Kind, I. P. Il'inskaja Jan 1997

Arithmetic Of A Semigroup Of Series In Legendre Functions Of The Second Kind, I. P. Il'inskaja

Turkish Journal of Mathematics

In the framework of D. Kendall's theory of Delphic semigroups, a semigroup of series in Legendre functions of the second kind is studied. The basic factorization theorems are prowed, the classes of infinitely divisible elements and of elements without indecomposable factors are completely described, the density of the class of indecomposable elements is established.

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The Hessian Tensor On A Hypersurface In Euclidean Space And Otsuki's Lemma, Erdal Gül Jan 1997

The Hessian Tensor On A Hypersurface In Euclidean Space And Otsuki's Lemma, Erdal Gül

Turkish Journal of Mathematics

The purpose of this paper is to obtain a condition for a hypersurface in Euclidean space with belongs to Hessian Tensor and is to give an alternative proof of Otsuki's lemma by applying this condition.

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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

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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.

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