PERFECT DISCRETE MORSE FUNCTIONS ON CONNECTED SUMS


Creative Commons License

Varli H., PAMUK M., Kosta N. M.

HOMOLOGY HOMOTOPY AND APPLICATIONS, cilt.20, sa.1, ss.219-236, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4310/hha.2018.v20.n1.a13
  • Dergi Adı: HOMOLOGY HOMOTOPY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.219-236
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We study perfect discrete Morse functions on closed, connected, oriented n-dimensional manifolds. We show how to compose such functions on connected sums of manifolds of arbitrary dimensions and how to decompose them on connected sums of closed oriented surfaces.