Research Article
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DEFORMATION RETRACT OF A DIGITAL H-SPACE

Year 2019, Volume: 2 Issue: 1, 82 - 88, 30.01.2019
https://doi.org/10.33773/jum.506508

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.

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.
Year 2019, Volume: 2 Issue: 1, 82 - 88, 30.01.2019
https://doi.org/10.33773/jum.506508

Abstract

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.
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Sibel Demiralp

Gülnur Haçat

Publication Date January 30, 2019
Submission Date January 2, 2019
Acceptance Date January 14, 2019
Published in Issue Year 2019 Volume: 2 Issue: 1

Cite

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. January 2019;2(1):82-88. doi:10.33773/jum.506508
Chicago Demiralp, Sibel, and Gülnur Haçat. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics 2, no. 1 (January 2019): 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 S. Demiralp and G. Haçat, “DEFORMATION RETRACT OF A DIGITAL H-SPACE”, JUM, vol. 2, no. 1, pp. 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 (January 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 and Gülnur Haçat. “DEFORMATION RETRACT OF A DIGITAL H-SPACE”. Journal of Universal Mathematics, vol. 2, no. 1, 2019, pp. 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.