Question

Component of the real line

score 132 · Answer 1 · 2018-04-03 05:41:55

132

Views

Component of the real line

Published on 03 Apr 2018 - 5:41

score 111 · Answer 2 · 2018-04-03 05:45:10

111

Views

Topology $\tau(\frac{1}{n})$

Published on 03 Apr 2018 - 5:45

score 779 · Answer 3 · 2018-04-03 07:45:26

779

Views

show that $U(x,\epsilon)$ is not even open in the uniform topology.

Published on 03 Apr 2018 - 7:45

score 98 · Answer 4 · 2018-04-03 08:42:14

98

Views

Topology: Suppose $A\subset B\subset C$ and $\overline{C}=A^{\circ}$. Show $B$ is open and closed.

Published on 03 Apr 2018 - 8:42

score 38 · Answer 5 · 2026-03-30 17:39:37

38

Views

A compact subset question

Published on 30 Mar 2026 - 17:39

score 653 · Answer 6 · 2018-04-03 12:32:54

$(a)$ Show that on $X$, we have the inclusions $ \mbox{ box topology } \ \supset \ \ell^2 \mbox{ topology } \ \supset \ \mbox{ uniform topology}$

score 1.8k · Answer 7 · 2026-03-25 18:09:32

1.8k

Views

Subspace topology in proof that $\mathbb{Q}$ is connected?

Published on 25 Mar 2026 - 18:09

score 202 · Answer 8 · 2026-03-31 21:59:00

202

Views

Definition of accumulation point of a net

Published on 31 Mar 2026 - 21:59

score 119 · Answer 9 · 2026-03-25 01:18:29

119

Views

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

Published on 25 Mar 2026 - 1:18

score 345 · Answer 10 · 2026-03-25 00:02:20

345

Views

Functions agreeing on dense sets: weakest separation axiom

Published on 25 Mar 2026 - 0:02

score 219 · Answer 11 · 2026-03-25 12:31:21

219

Views

A continuous function that isn't locally uniformly continuous

Published on 25 Mar 2026 - 12:31

score 59 · Answer 12 · 2018-04-03 16:38:01

59

Views

Making sense of this basis

Published on 03 Apr 2018 - 16:38

score 91 · Answer 13 · 2026-03-25 18:04:37

91

Views

A topological property that holds by countable union/intersection but not by uncountable union/intersection?

Published on 25 Mar 2026 - 18:04

score 279 · Answer 14 · 2018-04-03 18:26:32

Let $(X,\tau)$ be a topological space, where $X$ is an infinite set, $\tau$ is co-countable topology. Is it connected?

score 109 · Answer 15 · 2026-03-29 13:40:54

109

Views

Describing the Kernel of a map from The Fundamental Group to the integers

Published on 29 Mar 2026 - 13:40

List Question

Component of the real line

Topology $\tau(\frac{1}{n})$

show that $U(x,\epsilon)$ is not even open in the uniform topology.

Topology: Suppose $A\subset B\subset C$ and $\overline{C}=A^{\circ}$. Show $B$ is open and closed.

A compact subset question

$(a)$ Show that on $X$, we have the inclusions $ \mbox{ box topology } \ \supset \ \ell^2 \mbox{ topology } \ \supset \ \mbox{ uniform topology}$

Subspace topology in proof that $\mathbb{Q}$ is connected?

Definition of accumulation point of a net

What is the dimension of the set generated by $z \mapsto z + 1$ and $z \mapsto \frac{z}{1+z}$?

Functions agreeing on dense sets: weakest separation axiom

A continuous function that isn't locally uniformly continuous

Making sense of this basis

A topological property that holds by countable union/intersection but not by uncountable union/intersection?

Let $(X,\tau)$ be a topological space, where $X$ is an infinite set, $\tau$ is co-countable topology. Is it connected?

Describing the Kernel of a map from The Fundamental Group to the integers

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