EN
DEFORMATION RETRACT OF A DIGITAL H-SPACE
Abstract
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.
Keywords
References
- 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.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 30, 2019
Submission Date
January 2, 2019
Acceptance Date
January 14, 2019
Published in Issue
Year 2019 Volume: 2 Number: 1
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, and 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 (January 1, 2019) DEFORMATION RETRACT OF A DIGITAL H-SPACE. Journal of Universal Mathematics 2 1 82–88.
IEEE
[1]S. Demiralp and G. Haçat, “DEFORMATION RETRACT OF A DIGITAL H-SPACE”, JUM, vol. 2, no. 1, pp. 82–88, Jan. 2019, doi: 10.33773/jum.506508.
ISNAD
Demiralp, Sibel - Haçat, Gülnur. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics 2/1 (January 1, 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, and Gülnur Haçat. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics, vol. 2, no. 1, Jan. 2019, pp. 82-88, doi:10.33773/jum.506508.
Vancouver
1.Sibel Demiralp, Gülnur Haçat. DEFORMATION RETRACT OF A DIGITAL H-SPACE. JUM. 2019 Jan. 1;2(1):82-8. doi:10.33773/jum.506508