Research Article

DEFORMATION RETRACT OF A DIGITAL H-SPACE

Volume: 2 Number: 1 January 30, 2019
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

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

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