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Results tagged with uniform-spaces
Search options answers only
not deleted
user 43954
2
votes
Accepted
The subbase theorem for total boundedness
It seems the following.
The answer is positive. Let $\mathcal S$ be a subbase satisfying the condition and $U\in\mathcal U$ be an arbitrary entourage. Then there exists a finite subfamily $\mathcal …
- 5,409
7
votes
Accepted
Convergent net in a quasi-uniform space which is not Cauchy
There are several definitions of Cauchy filters on a quasi-uniform space $(X,\mathcal U)$ [K]. For instance, a filter $\mathcal F$ on $(X,\mathcal U)$ is called
a left $K$-Cauchy (resp. right $K$-C …
- 5,409