Yıl: 2018 Cilt: 42 Sayı: 4 Sayfa Aralığı: 1845 - 1852 Metin Dili: İngilizce İndeks Tarihi: 18-02-2020

Digital Lusternik–Schnirelmann category

Öz:
In this paper, we define the digital Lusternik–Schnirelmann category catκ , introduce some of its properties,and discuss how the adjacency relation affects the digital Lusternik–Schnirelmann category
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Boxer L. Digitally continuous functions. Pattern Recogn Lett 1994; 15: 833-839.
  • Boxer L. A classical construction for the digital fundamental group. J Math Imaging Vis 1999; 10: 51-62.
  • Boxer L. Properties of digital homotopy. J Math Imaging Vis 2005; 22: 19-26.
  • Boxer L. Homotopy properties of sphere-like digital images. J Math Imaging Vis 2006; 24: 167-175.
  • Boxer L. Continuous maps on digital simple closed curves. Springer P Math Stat 2010; 1: 377-386.
  • Boxer L, Karaca I. The Classification of digital covering spaces. J Math Imaging Vis 2008; 32: 23-29.
  • Boxer L, Staecker PC. Fundamental groups and Euler characteristics of sphere-like digital images. Appl Gen Topol 2016; 17: 139-158.
  • Cornea O, Lupton G, Oprea J, Tanre D. Lusternik-Schnirelmann category. Mathematical Surveys and Monographs, Vol. 103, Amer Math Soc 2003.
  • Han SE. On the classification of the digital images up to digital homotopy equivalence. J Comput Commun Res 2000; 10: 207-216.
  • Han SE. Computer topology and its applications. Honam Math J 2003; 25: 153-162.
  • Han SE. Non-product property of the digital k-fundamental group. Inform Sciences 2005; 173: 73-91.
  • Han SE. Digital fundamental group and Euler characteristic of a connected sum of digital closed surfaces. Inform Sciences 2007; 177: 3314-3326.
  • Han SE. A generalized digital (k0, k1)-homeomorphism. Note di Matematica 2003; 22: 157-166.
  • Herman GT. Oriented surfaces in digital spaces CVGIP. Graph Model Im Proc 1993; 55: 381-396.
  • Khalimsky E. Motion, deformation, and homotopy in finite spaces. Proceedings IEEE International Conference on Systems, Man, and Cybernetics 1987; 227-234.
  • Oztunc S. Morphism properties of digital categories. Celal Bayar University Journal of Science 2017; 13: 619-622.
  • Oztunc S, Bildik N, Mutlu A. The construction of simplicial groups in digital images. J Inequal Appl 2013; 143: 1-13.
  • Oztunc S, Mutlu A. Categories in digital images. Am J Math Stat 2013; 3: 62-66.
  • Oztunc S, Mutlu A, Bildik N. Computing hypercrossed complex pairings in digital images. Abstr Appl Anal 2013; 2013: 1-6.
  • Rosenfeld A. Continuous functions on digital pictures. Pattern Recogn Lett 1986; 4: 177-184.
APA Borat A, VERGILI T (2018). Digital Lusternik–Schnirelmann category. , 1845 - 1852.
Chicago Borat Ayse,VERGILI TANE Digital Lusternik–Schnirelmann category. (2018): 1845 - 1852.
MLA Borat Ayse,VERGILI TANE Digital Lusternik–Schnirelmann category. , 2018, ss.1845 - 1852.
AMA Borat A,VERGILI T Digital Lusternik–Schnirelmann category. . 2018; 1845 - 1852.
Vancouver Borat A,VERGILI T Digital Lusternik–Schnirelmann category. . 2018; 1845 - 1852.
IEEE Borat A,VERGILI T "Digital Lusternik–Schnirelmann category." , ss.1845 - 1852, 2018.
ISNAD Borat, Ayse - VERGILI, TANE. "Digital Lusternik–Schnirelmann category". (2018), 1845-1852.
APA Borat A, VERGILI T (2018). Digital Lusternik–Schnirelmann category. Turkish Journal of Mathematics, 42(4), 1845 - 1852.
Chicago Borat Ayse,VERGILI TANE Digital Lusternik–Schnirelmann category. Turkish Journal of Mathematics 42, no.4 (2018): 1845 - 1852.
MLA Borat Ayse,VERGILI TANE Digital Lusternik–Schnirelmann category. Turkish Journal of Mathematics, vol.42, no.4, 2018, ss.1845 - 1852.
AMA Borat A,VERGILI T Digital Lusternik–Schnirelmann category. Turkish Journal of Mathematics. 2018; 42(4): 1845 - 1852.
Vancouver Borat A,VERGILI T Digital Lusternik–Schnirelmann category. Turkish Journal of Mathematics. 2018; 42(4): 1845 - 1852.
IEEE Borat A,VERGILI T "Digital Lusternik–Schnirelmann category." Turkish Journal of Mathematics, 42, ss.1845 - 1852, 2018.
ISNAD Borat, Ayse - VERGILI, TANE. "Digital Lusternik–Schnirelmann category". Turkish Journal of Mathematics 42/4 (2018), 1845-1852.