Question

Find an example of a uniform space that is not the underlying uniform space of any topological group. 

   Find an example of a uniform space that is not the underlying uniform space of any topological group.
Mathematical physics
Mathematical physics
Robert Geroch 1st Edition
Chapter 40, Problem 282 ↓

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A uniform space is a set equipped with a uniform structure, which allows the definition of concepts like uniform continuity, completeness, and total boundedness. A topological group is a group that is also a topological space, where the group operations  Show more…

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Find an example of a uniform space that is not the underlying uniform space of any topological group.
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