Cohomology Theory for Digital Images


Ege O. , KARACA İ.

ROMANIAN JOURNAL OF INFORMATION SCIENCE AND TECHNOLOGY, cilt.16, ss.10-28, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 1
  • Basım Tarihi: 2013
  • Dergi Adı: ROMANIAN JOURNAL OF INFORMATION SCIENCE AND TECHNOLOGY
  • Sayfa Sayıları: ss.10-28

Özet

In this paper we propose a mathematical framework that can be used for de fining cohomology of digital images. We state the Eilenberg-Steenrod axioms and the Universal Coefficient Theorem for this cohomology theory. We show that the Kunneth formula doesn't hold. A cup product is defined and its main properties are proved.