Abstract
In this paper, digital fibrations were introduced. Theorems related to digital fibrations were proved. Homology properties of digital fibrations with counter examples were studied and an application for digital fibrations was also described.
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References
Rosenfeld A (1986) Continuous functions on digital pictures. Pattern Recognit Lett 4:177–184
Karaca I, Ege O (2012) Some results on simplicial homology groups of 2D digital images. Int J Inf Comput Sci 1(8):198–203
Ege O, Karaca I (2013) Fundamental properties of simplicial homology groups for digital images. Am J Comput Technol Appl 1(2):25–42
Ege O, Karaca I, Ege ME (2014) Relative homology groups of digital images. Appl Math Inf Sci 8(5):2337–2345
Karaca I, Vergili T (2011) Fiber bundles in digital images. In: Proceeding of 2nd international symposium on computing in science and engineering, vol 700, no. 67, pp 1260–1265
Meric ET, Vergili T, Karaca I (2014) Computing higher dimensional digital homotopy groups. Appl Math Inf Sci 8(5):2417–2425
Boxer L (1999) A classical construction for the digital fundamental group. J Math Imaging Vis 10:51–62
Boxer L (2006) Homotopy properties of sphere-like digital images. J Math Imaging Vis 24:167–175
Han SE (2005) Non-product property of the digital fundamental group. Inform Sci 171:73–91
Boxer L (1994) Digitally continuous functions. Pattern Recognit Lett 15:833–839
Herman GT (1993) Oriented surfaces in digital spaces. CVGIP Graph Models Image Process 55:381–396
Boxer L (2006) Digital products, wedges and covering spaces. J Math Imaging Vis 25:159–171
Spanier E (1966) Algebraic topology. McGraw-Hill, New York
Arslan H, Karaca I, Oztel A (2008) Homology groups of \(n\)-dimensional digital images. XXI. In: Turkish national mathematics symposium, vol B, pp 1–13
Boxer L, Karaca I, Oztel A (2011) Topological invariants in digital images. J Math Sci Adv Appl 11(2):109–140
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We would like to express our gratitude to the anonymous referees for their helpful suggestions and corrections.
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Ege, O., Karaca, I. Digital Fibrations. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 87, 109–114 (2017). https://doi.org/10.1007/s40010-016-0302-0
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DOI: https://doi.org/10.1007/s40010-016-0302-0