List questions from nets

Published on 29 Dec 2020 - 17:52

532

Views

When can nets be replaced by sequences?

Published on 03 Jan 2021 - 20:32

35

Views

A semicontinuous diagonal function?

Published on 23 Mar 2026 - 3:33

29

Views

Existence of bounded, continuous decreasing net with pointwise limit on completely regular space

Published on 12 Jan 2021 - 16:23

168

Views

Non Pathological examples of non sequential spaces

Published on 19 Jan 2021 - 9:23

40

Views

Prove that $\sup\limits_{\alpha \in D} \|x_{\alpha}\| \lt \infty.$

Published on 23 Jan 2021 - 19:52

72

Views

Motivating the terminology of weaker vs stronger topology

Published on 24 Jan 2021 - 0:49

139

Views

Equivalence of definition of definite integral with sequences and with nets

Published on 24 Jan 2021 - 20:53

58

Views

Cluster points in products

Published on 25 Jan 2021 - 18:31

76

Views

Consider a net and its associated filter, then the associated net of the filter is the original net?

Published on 26 Jan 2021 - 11:53

55

Views

Applications of the concept of a net in mathematics

Published on 26 Jan 2021 - 13:54

73

Views

Net in a Metric Space

Published on 26 Jan 2021 - 20:43

34

Views

A net clusters at $x$ iff the "filter generated by the net" clusters at $x$

Published on 07 Feb 2021 - 17:38

77

Views

is the limit of the product of nets equal to the product of the limits of nets?

Published on 08 Feb 2021 - 12:04

93

Views

'Cofinality' and base cardinality of convergent net less than cardinality of index set, implies constant from some index onwards?

Published on 13 Feb 2021 - 12:17

List Question

Bounded net of complex numbers

When can nets be replaced by sequences?

A semicontinuous diagonal function?

Existence of bounded, continuous decreasing net with pointwise limit on completely regular space

Non Pathological examples of non sequential spaces

Prove that $\sup\limits_{\alpha \in D} \|x_{\alpha}\| \lt \infty.$

Motivating the terminology of weaker vs stronger topology

Equivalence of definition of definite integral with sequences and with nets

Cluster points in products

Consider a net and its associated filter, then the associated net of the filter is the original net?

Applications of the concept of a net in mathematics

Net in a Metric Space

A net clusters at $x$ iff the "filter generated by the net" clusters at $x$

is the limit of the product of nets equal to the product of the limits of nets?

'Cofinality' and base cardinality of convergent net less than cardinality of index set, implies constant from some index onwards?

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