Digital cohomology groups of certain minimal surfaces

Subject Areas : Algebraic topology

I. Karaca ¹ , O. Ege ²

1 - Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey.
2 - Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey.

Received: 2018-08-06 Accepted : 2018-10-01 Published : 2018-11-01

Keywords: Digital image, universal coefficient theorem, digital cohomology group,

Abstract :

In this study, we compute simplicial cohomology groups with different coefficientsof a connected sum of certain minimal simple surfaces by using the universal coefficienttheorem for cohomology groups. The method used in this paper is a different way to computedigital cohomology groups of minimal simple surfaces. We also prove some theorems relatedto degree properties of a map on digital spheres.

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