Cone, tetrahedron and unit interval

In this article we have established a bijection from a unit solid circular cone onto a family of subintervals of a unit interval with some notions. Consequently, the unit interval has been embedded into unit solid circular cone. Further, imposing a Hausdorff metric on family of subintervals of u...

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Bibliographic Details
Main Author: Azram, Mohammad
Format: Article
Language:English
Published: Sci.Int.(Lahore) 2012
Subjects:
Online Access:http://irep.iium.edu.my/24498/
http://irep.iium.edu.my/24498/
http://irep.iium.edu.my/24498/1/1-Cone%25Interval%5B1%5D.doc%2B1%2BMalaysia%2B105-107.pdf
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Summary:In this article we have established a bijection from a unit solid circular cone onto a family of subintervals of a unit interval with some notions. Consequently, the unit interval has been embedded into unit solid circular cone. Further, imposing a Hausdorff metric on family of subintervals of unit interval, we were able to convert the same bijection into a homeomorphis. We have also established a homeomorphism from unit solid circular cone onto a tetrahedron.