Question

Equivalent definitions of cluster point of a net

score 45 · Answer 1 · 2022-01-04 19:06:52

45

Views

Equivalent definitions of cluster point of a net

Published on 04 Jan 2022 - 19:06

score 154 · Answer 2 · 2022-01-04 21:07:59

154

Views

$3$ equivalent definitions of compactness

Published on 04 Jan 2022 - 21:07

score 51 · Answer 3 · 2022-01-04 23:30:36

51

Views

$x_d \to a$ in $\tau$ if and only if $x_d \to a$ in $\tau_A$

Published on 04 Jan 2022 - 23:30

score 123 · Answer 4 · 2022-01-05 23:01:36

123

Views

A direct proof (using net convergence) that sequential compact metric space is compact

Published on 05 Jan 2022 - 23:01

score 65 · Answer 5 · 2022-01-23 17:22:13

65

Views

Question on states and nets in a non-unital $C^*$ algebra

Published on 23 Jan 2022 - 17:22

score 73 · Answer 6 · 2022-01-25 14:50:51

73

Views

Conjugate Nets in Higher Dimensions

Published on 25 Jan 2022 - 14:50

score 30 · Answer 7 · 2026-02-24 05:12:30

30

Views

Entourage asymmetry and Cauchy nets: $x_a$ is $V$-close to $x_b$ does not imply $x_b$ is $V$-close to $x_a$

Published on 24 Feb 2026 - 5:12

score 80 · Answer 8 · 2022-01-28 15:05:23

80

Views

A simpler equivalent definition of subnet

Published on 28 Jan 2022 - 15:05

score 60 · Answer 9 · 2022-01-28 16:30:55

60

Views

Is the intersection of a decreasing (w.r.t. inclusion) sequence of cofinal subsets again a cofinal subset?

Published on 28 Jan 2022 - 16:30

score 41 · Answer 10 · 2022-01-29 15:43:22

41

Views

How do I prove the following statement about filters and associated nets?

Published on 29 Jan 2022 - 15:43

score 162 · Answer 11 · 2022-01-30 19:01:30

162

Views

A proof of Banach–Alaoglu theorem with net convergence

Published on 30 Jan 2022 - 19:01

score 51 · Answer 12 · 2022-01-31 15:05:01

51

Views

How can I work with the net associated to a filter?

Published on 31 Jan 2022 - 15:05

score 30 · Answer 13 · 2022-02-15 13:00:37

30

Views

If a weakly convergent net is bounded by $r$, is its limit bounded by $r$?

Published on 15 Feb 2022 - 13:00

score 27 · Answer 14 · 2022-02-17 11:15:25

27

Views

Is there a common directed set that induces $2$ monotone cofinal maps to $2$ other directed sets?

Published on 17 Feb 2022 - 11:15

score 139 · Answer 15 · 2022-02-21 06:01:30

139

Views

Proof of Hausdorffness of sequentially Hausdorff space under its sequential topology

Published on 21 Feb 2022 - 6:01

List Question

Equivalent definitions of cluster point of a net

$3$ equivalent definitions of compactness

$x_d \to a$ in $\tau$ if and only if $x_d \to a$ in $\tau_A$

A direct proof (using net convergence) that sequential compact metric space is compact

Question on states and nets in a non-unital $C^*$ algebra

Conjugate Nets in Higher Dimensions

Entourage asymmetry and Cauchy nets: $x_a$ is $V$-close to $x_b$ does not imply $x_b$ is $V$-close to $x_a$

A simpler equivalent definition of subnet

Is the intersection of a decreasing (w.r.t. inclusion) sequence of cofinal subsets again a cofinal subset?

How do I prove the following statement about filters and associated nets?

A proof of Banach–Alaoglu theorem with net convergence

How can I work with the net associated to a filter?

If a weakly convergent net is bounded by $r$, is its limit bounded by $r$?

Is there a common directed set that induces $2$ monotone cofinal maps to $2$ other directed sets?

Proof of Hausdorffness of sequentially Hausdorff space under its sequential topology

Trending Questions

Popular # Hahtags

Popular Questions