DEFORMATION RETRACT OF A DIGITAL H-SPACE
Year 2019,
Volume: 2 Issue: 1, 82 - 88, 30.01.2019
Sibel Demiralp
,
Gülnur Haçat
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
Sibel Demiralp
,
Gülnur Haçat
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.