Araştırma Makalesi

DEFORMATION RETRACT OF A DIGITAL H-SPACE

Cilt: 2 Sayı: 1 30 Ocak 2019
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DEFORMATION RETRACT OF A DIGITAL H-SPACE

Öz

In this study we investigate some properties of digital H-spaces and digital H-groups. It is shown that a _-deformation retract of a digital H-group is itself a digital H-group. Also we prove that there is a functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms.

Anahtar Kelimeler

Kaynakça

  1. Arkowitz, M., Introduction to Homotopy Theory, Springer, 2011. Boxer, L., A classical construction for the digital fundamental group. Journal of Mathematical Imaging and Vision, 10(1), 51-62, 1999Boxer, L., Properties of digital homotopy. Journal of Mathematical Imaging and Vision, 22(1), 19-26, 2005.Ege, Ö ., & Karaca, I., Some properties of digital H-spaces. Turkish Journal of Electrical Engineering & Computer Sciences, 24(3), 1930-1941, 2016.Han, S. E. , Generalized digital-homeomorphism. Note di Matematica, 22(2), 157-166, 2003.Han, S. E., Non-product property of the digital fundamental group, Information Science, 171, 73-91, 2005.Kong, T. Y.and Rosenfeld,A., Digital Topology: Introduction and Survey,Computer Vision.Graphics, and _Image Processing 48, 357-393, 1989.Kong. T.Y., A Digital Fundamental Group, Computers and Graphics 13: 159-166, 1989.Rosenfeld, A., Continuous functions on digital pictures, Pattern Recognition Letters 4: 177-184, 1986Switzer, R. M., Algebraic topology-homotopy and homology. Springer, 2017.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

30 Ocak 2019

Gönderilme Tarihi

2 Ocak 2019

Kabul Tarihi

14 Ocak 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 2 Sayı: 1

Kaynak Göster

APA
Demiralp, S., & Haçat, G. (2019). DEFORMATION RETRACT OF A DIGITAL H-SPACE. Journal of Universal Mathematics, 2(1), 82-88. https://doi.org/10.33773/jum.506508
AMA
1.Demiralp S, Haçat G. DEFORMATION RETRACT OF A DIGITAL H-SPACE. JUM. 2019;2(1):82-88. doi:10.33773/jum.506508
Chicago
Demiralp, Sibel, ve Gülnur Haçat. 2019. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics 2 (1): 82-88. https://doi.org/10.33773/jum.506508.
EndNote
Demiralp S, Haçat G (01 Ocak 2019) DEFORMATION RETRACT OF A DIGITAL H-SPACE. Journal of Universal Mathematics 2 1 82–88.
IEEE
[1]S. Demiralp ve G. Haçat, “DEFORMATION RETRACT OF A DIGITAL H-SPACE”, JUM, c. 2, sy 1, ss. 82–88, Oca. 2019, doi: 10.33773/jum.506508.
ISNAD
Demiralp, Sibel - Haçat, Gülnur. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics 2/1 (01 Ocak 2019): 82-88. https://doi.org/10.33773/jum.506508.
JAMA
1.Demiralp S, Haçat G. DEFORMATION RETRACT OF A DIGITAL H-SPACE. JUM. 2019;2:82–88.
MLA
Demiralp, Sibel, ve Gülnur Haçat. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics, c. 2, sy 1, Ocak 2019, ss. 82-88, doi:10.33773/jum.506508.
Vancouver
1.Sibel Demiralp, Gülnur Haçat. DEFORMATION RETRACT OF A DIGITAL H-SPACE. JUM. 01 Ocak 2019;2(1):82-8. doi:10.33773/jum.506508