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15
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Limit superior is a cluster point of a net

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#general-topology #limsup-and-liminf #nets
445
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Cluster point of a net is a limit of a subnet

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#general-topology #nets
52
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Net (Mooore - Smith) Convergence question

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#general-topology #analysis #nets
61
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A challenging problem related to characterisation on BV-functions.

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#real-analysis #functional-analysis #operator-theory #bounded-variation #nets
231
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Net compactness and relative compactness

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#general-topology #compactness #nets
115
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Almost Everywhere Convergence on Lebesgue Measure and Topology

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#general-topology #almost-everywhere #nets
287
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Definition of subsequence of a net

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#general-topology #metric-spaces #nets
105
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Question on metric spaces and nets

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#general-topology #metric-spaces #nets
66
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What exactly is the relationship between weak* convergence and sequential convergence?

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#banach-spaces #weak-convergence #banach-algebras #nets #weak-topology
249
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Net based on a filter

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#general-topology #filters #nets
220
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Construct a net on the unit ball in $\ell^1 (\mathbb N)$ weakly converging to zero

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#functional-analysis #banach-spaces #examples-counterexamples #nets
55
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Define a filter base according to a net

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#topological-vector-spaces #filters #nets
30
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Show if $f_x \rightarrow \eta \,\,\,$ and $g_x \rightarrow \zeta$ so $f_x+g_x \rightarrow \eta + \zeta$

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#real-analysis #limits #solution-verification #nets
65
Views

isomorphism filter and nets

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#general-topology #filters #nets
49
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An ultranet $x_\lambda$ is frequentely in $Y$ if and only if it is residually too.

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#general-topology #nets

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