Refine your search
Collections
Co-Authors
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Al-Hazmi, N.
- Foldings and Deformation Retractions of Hypercylinder
Abstract Views :589 |
PDF Views:154
Authors
Affiliations
1 Mathematics Department, Faculty of Science, Tanta University, Tanta, EG
2 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
1 Mathematics Department, Faculty of Science, Tanta University, Tanta, EG
2 Mathematics Department, Faculty of Science, Taibah University, Madinah, SA
Source
Indian Journal of Science and Technology, Vol 6, No 2 (2013), Pagination: 4084-4093Abstract
Our aim in the present work is to introduce and study new types of retractions of hypercylinder. Types of the deformation retracts of hypercylinder are presented. The relations between the folding and the deformation retract of hypercylinder are deduced. Types of minimal retractions of hypercylinder are introduced. Also, the isometric and topological folding in each case and the relation between the deformation retracts after and before folding are obtained. New types of homotopy maps are deduced. Theorems governing this connection are achieved.Keywords
Hypercylinder, Retraction, FoldingReferences
- A. E. El-Ahmady, The variation of the density on chaotic spheres in chaotic space-like Minkowski space time, Chaos, Solitons and Fractals, 31 (1272-1278) (2007).
- A. E. El-Ahmady, Folding of fuzzy hypertori and their retractions, Proc. Math. Phys. Soc. Egypt, Vol.85, No.1 (1-10) (2007).
- A. E. El-Ahmady, Limits of fuzzy retractions of fuzzy hyperspheres and their foldings, Tamkang Journal of Mathematics, Volume37, No. 1 (47-55) Spring, (2006).
- A. E. El-Ahmady, Fuzzy folding of fuzzy horocycle, CircoloMatematico di Palermo Serie II ,Tomo L III (443-450) (2004).
- A. E. El-Ahmady, Fuzzy Lobachevskian space and its folding, The Journal of Fuzzy Mathematics, Vol. 12 No. 2, (609-614) (2004).
- A. E. El-Ahmadyand H. Rafat, Retraction of chaotic Ricci space, Chaos, Solutions and Fractals, 41 (394-400) (2009).
- A. E. El-Ahmadyand H. Rafat, A calculation of geodesics in chaotic flat space and its folding, Chaos, Solutions and Fractals, 30 (836-844) (2006).
- A. E. El-Ahmadyand A. El-Araby, On fuzzy spheres in fuzzy Minkowski space, NuovoCimentoVol.125B(2010) .
- A. E. El-Ahmady, Retraction of chaotic black hole, The Journal of Fuzzy Mathematics Vol.19, No. 3, (2011).
- A. E. El-Ahmady, The geodesic deformation retract of Klein Bottle and its folding, The International Journal of Nonlinear Science, Vol. 12, No. 3, (2011).
- E. Michael, Closed retract and perfect retracts, Topology and its Applications 12(451-468) (2003).
- G. L. Naber, Topology, Geometry and Gauge fields: Foundations, Texts in Applied Mathematics 25, Edition, Springer-Verlage New York, Berlin, (2011).
- M. Baronti, E. Casini, C. Franchetti, The retraction constant in some Banach spaces, Journal of Approximation Theory, 120 (296-308) (2003).
- M. Reid and BalazsSzendroi.Topology and Geometry, Cambridge University Press, Cambridge, New York, (2005).
- P. DI-Francesco, Folding and coloring problem in Mathematics and Physics, Bulliten of the American Mathematics Society, Vol. 37, No. 3, (251-307) (2000).
- P. Pellicer-Covarrubias, Retractions in hyperspaces, Topology and its Applications 135 (277-291) (2004).
- Shick Pl. Topology: Point-Set and Geometry, New York, Wiley, (2007).