Topology induced by a uniform structure

In this paper we have established that a uniform topology induced by a uniform structure on a set is also a topology on the set. Further investigations were carried out to establish the uniform structure which has basically induced a usually topology on the real line R1.

Bibliographic Details
Main Author: Azram, Mohammad
Format: Article
Language:English
Published: IDOSI Publication 2012
Subjects:
Online Access:http://irep.iium.edu.my/27375/
http://irep.iium.edu.my/27375/
http://irep.iium.edu.my/27375/
http://irep.iium.edu.my/27375/1/T_I_U_S.pdf
Description
Summary:In this paper we have established that a uniform topology induced by a uniform structure on a set is also a topology on the set. Further investigations were carried out to establish the uniform structure which has basically induced a usually topology on the real line R1.