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Results tagged with nets
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user 43954
A net is a generalization of a sequence where a directed set is used as the index set instead of positive integers. Convergence of nets can be defined in a similar way as convergence of sequences. Convergent nets in a topological space uniquely determine its topology.
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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 …
- 4,713