Singular homology theory in the category of soft topological spaces

Bayramov S., GÜNDÜZ Ç., Mdzinarishvili L.

GEORGIAN MATHEMATICAL JOURNAL, cilt.22, sa.4, ss.457-467, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/gmj-2015-0042
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.457-467
  • Anahtar Kelimeler: Singular homology theory, soft topological spaces
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In the category of soft topological spaces, a singular homology group is defined and the homotopic invariance of this group is proved [6]. The first aim of this study is to define relative homology groups in the category of pairs of soft topological spaces. For these groups it is proved that the axioms of dimensional and exactness homological sequences hold true. The axiom of excision for singular homology groups is also proved.