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Dive into the research topics where Ismet Karaca is active.

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Featured researches published by Ismet Karaca.


Journal of Mathematical Imaging and Vision | 2008

The Classification of Digital Covering Spaces

Laurence Boxer; Ismet Karaca

In this paper we classify digital covering spaces using the conjugacy class corresponding to a digital covering space.


Fixed Point Theory and Applications | 2013

Lefschetz fixed point theorem for digital images

Ozgur Ege; Ismet Karaca

In this article we study the fixed point properties of digital images. Moreover, we prove the Lefschetz fixed point theorem for a digital image. We then give some examples about the fixed point property. We conclude that sphere-like digital images have the fixed point property.MSC:55N35, 68R10, 68U05, 68U10.


Journal of Pure and Applied Algebra | 2002

Nilpotence relations in the mod-p Steenrod algebra

Ismet Karaca

Abstract In our paper we generalize some results proved by Monks (Bol. Mex. Mat. Soc. 37 (1992) 401–416) and find formulas for the nilpotence of P ( n ) for certain values of n.


Applied general topology | 2016

Digital fixed points, approximate fixed points, and universal functions

Laurence Boxer; Ozgur Ege; Ismet Karaca; Jonathan Lopez; Joel Louwsma

A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous to those of the Euclidean spaces modeled by the images, there often are approximate fixed point properties of such images. In the current paper, we obtain additional results concerning fixed points and approximate fixed points of digitally continuous functions. Among these are several results concerning the relationship between universal functions and the approximate fixed point property (AFPP).


Journal of Pure and Applied Algebra | 2002

Unstable modules over the Steenrod algebra

Ismet Karaca

Abstract In this paper we generalize some results of Jmoui and Peterson (J. Pure Appl. Algebra 97 (1994) 37–50) to an odd prime p . In particular, we give a characterization in terms of the action of the Steenrod algebra of those unstable modules which are concentrated in even degrees and admit an injective resolution of which at least the first three terms are reduced.


Archive | 2011

TOPOLOGICAL INVARIANTS IN DIGITAL IMAGES

Laurence Boxer; Ismet Karaca; Ahmet Öztel


Journal of Mathematical Imaging and Vision | 2010

Some Properties of Digital Covering Spaces

Laurence Boxer; Ismet Karaca


International Journal of Information and Computer Science | 2012

Some Results on Simplical Homology Groups of 2D Digital Images.

Ismet Karaca; Ozgur Ege


Bulletin of The Belgian Mathematical Society-simon Stevin | 2014

Applications of the Lefschetz Number to Digital Images

Ozgur Ege; Ismet Karaca


Applied Mathematics & Information Sciences | 2014

Relative Homology Groups of Digital Images

Ozgur Ege; Ismet Karaca; Meltem Erden Ege

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Ozgur Ege

Celal Bayar University

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