Araştırma Makalesi
BibTex RIS Kaynak Göster

DEFORMATION RETRACT OF A DIGITAL H-SPACE

Yıl 2019, Cilt: 2 Sayı: 1, 82 - 88, 30.01.2019
https://doi.org/10.33773/jum.506508

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.

Kaynakça

  • 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.
Yıl 2019, Cilt: 2 Sayı: 1, 82 - 88, 30.01.2019
https://doi.org/10.33773/jum.506508

Öz

Kaynakça

  • 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.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Sibel Demiralp

Gülnur Haçat

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