If the filter generated by (x2)
converges to then net (x2)
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4 Subnets. 6. 5 Filters. 9. 6 The connection between nets and filters. 12 ... there is a sequence of points in C that converges to x, then x ∈ C. ... because the net we created “knew about” all of the open sets containing x and all the open sets ... Let (X1,T1) and (X2,T2) be topological spaces, and f : X1 → X2 a function.
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