Digital cohomology groups
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Abstract (EN)
The goal of this study is to define simplicial relative cohomology groups of digital images and to give some examples. First of all we study the notions of digital homotopy, homology and cohomology and their applications. Then simplicial relative cohomology groups are defined and cohomology groups of some digital images are calculated. Hence simplicial cup product for digital images is defined and their properties are given. As a result of this the ring structure is determined on digital cohomology. Furthermore a method for computing the cohomology ring of digital images is given and some examples concerned determination cohomology ring of digital images are given.
Author
Gülseli Burak
How to Cite
Gülseli Burak (Doctorate thesis). Digital cohomology groups, 2014, Aydın Adnan Menderes University.
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