Singular homology algorithm for MA-spaces

ÜNVER DEMİR E.

Thermal Science, cilt.23, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/tsci190906403u
  • Dergi Adı: Thermal Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Digital singular homology, MA-map, Marcus-wyse topology, Simple closed MA-curve
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

The work on digitizing subspaces of the 2-D Euclidean space with a certain digital approach is an important discipline in both digital geometry and topology. The present work considers Marcus-Wyse topological approach which was established for studying 2-D digital spaces, Z2. We introduce the digital singular homology groups of MA-spaces (M-topological space with an M-adjacency), and we compute singular homology groups of some certain MA-spaces, we give a formula for singular homology groups of 2-D simple closed MA-curves, and an algorithm for determining homology groups of an arbitrary MA-space.