EL-Kholy, E., Abou Shanab, M. (2005). ISOMETRIC FOLDING OF FINITE TYPE. test, 29(1), 14-20. doi: 10.21608/djs.2005.155561
E.M. EL-Kholy; M.A. Abou Shanab. "ISOMETRIC FOLDING OF FINITE TYPE". test, 29, 1, 2005, 14-20. doi: 10.21608/djs.2005.155561
EL-Kholy, E., Abou Shanab, M. (2005). 'ISOMETRIC FOLDING OF FINITE TYPE', test, 29(1), pp. 14-20. doi: 10.21608/djs.2005.155561
EL-Kholy, E., Abou Shanab, M. ISOMETRIC FOLDING OF FINITE TYPE. test, 2005; 29(1): 14-20. doi: 10.21608/djs.2005.155561

ISOMETRIC FOLDING OF FINITE TYPE

Delta Journal of Science
Article 2, Volume 29, Issue 1, June 2005, Pages 14-20    PDF (3.84 M)
Document Type: Research and Reference
DOI: 10.21608/djs.2005.155561
Authors
E.M. EL-Kholy1; M.A. Abou Shanab2
1Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
2Department of Mathematics, Faculty of Sciences, Minufiya University, Shebin El-Kom, Egypt
Abstract
In this paper we introduced a new type of isometric folding we called it isometric folding of finite type. We proved that any isometric folding is of finite type if it determines a stratification on M made up of finitely many strata of dimensions 0 and 1. Finally we explored the connectedness of the singular set and we proved that the composition and the Cartesian product of isometric foldings of finite type is an isometric folding of finite type.
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