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15
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How to construct a subnet with given property.

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#general-topology #nets
824
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haussdorfness $\iff$ limits of all nets are unique

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#general-topology #nets
81
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What is the necessity of $\epsilon$-net?

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#metric-spaces #compactness #nets
226
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Ultralimit extends limit of nets?

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#general-topology #filters #nets
85
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Subnet with an infinite directed set

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#general-topology #nets
443
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weak star and strong convergence of net in Banach spaces

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#general-topology #functional-analysis #weak-convergence #nets #weak-topology
39
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How to interpret the sum "$\sum_{k,l\in\mathbb{N}}$"?

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#real-analysis #sequences-and-series #limits #summation #nets
98
Views

Non-uniqueness of (Galerkin) approximations and convergent subsequences without the axiom of choice?

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#sequences-and-series #convergence-divergence #partial-differential-equations #axiom-of-choice #nets
548
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Nets, Cluster points, and closure: Showing a space is compact if every net has a cluster point

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#general-topology #compactness #nets
134
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Is a Banach space a complete topological vector space?

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#cauchy-sequences #topological-vector-spaces #nets
987
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Understanding $\epsilon-$net arguments for random matrix bounds

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#probability #matrices #normal-distribution #upper-lower-bounds #nets
115
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Tail of increasing convergent net of self-adjoint operators is bounded

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#operator-algebras #c-star-algebras #nets #self-adjoint-operators #strong-convergence
424
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"limit" vs. "limit point" of a sequence in a topological space

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#sequences-and-series #general-topology #limits #convergence-divergence #nets
34
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An increasing convergent net $(x_{\alpha})$ of real numbers is bounded by its limit.

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#real-analysis #general-topology #convergence-divergence #real-numbers #nets
27
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A question regarding nets of matrices

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#linear-algebra #matrices #nets

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