Question

Given $f$, does there exist $f_t$ with $f_t(f_{t'}) = f_{t+t'}$ and $f_1 = f$?

score 51 · Answer 1 · 2026-03-25 00:04:25

51

Views

Given $f$, does there exist $f_t$ with $f_t(f_{t'}) = f_{t+t'}$ and $f_1 = f$?

Published on 25 Mar 2026 - 0:04

score 4.2k · Answer 2 · 2018-01-28 01:18:36

4.2k

Views

Show that the set $\{(x,y): xy=1, x>0\}$ is closed

Published on 28 Jan 2018 - 1:18

score 54 · Answer 3 · 2018-01-28 05:36:17

54

Views

Is $\{f \in \mathcal{C}[0,1]| \int_0^\frac{1}{2}f - \int_\frac{1}{2}^1 f = 1\}$ a connected set?

Published on 28 Jan 2018 - 5:36

score 1.6k · Answer 4 · 2018-01-28 08:57:56

1.6k

Views

Compactness of [0,1] lower limit topology

Published on 28 Jan 2018 - 8:57

score 206 · Answer 5 · 2018-01-28 10:43:35

206

Views

Topology where infinite sets are closed is the discrete

Published on 28 Jan 2018 - 10:43

score 284 · Answer 6 · 2018-01-28 11:52:02

284

Views

A somewhat pathological function

Published on 28 Jan 2018 - 11:52

score 58 · Answer 7 · 2026-03-25 07:15:06

58

Views

Failing to understand a proof in topology.

Published on 25 Mar 2026 - 7:15

score 293 · Answer 8 · 2018-01-28 13:41:38

293

Views

Assumption from Tietze's extension theorem as a sufficient condition for a set in metric space to be closed

Published on 28 Jan 2018 - 13:41

score 120 · Answer 9 · 2026-03-25 13:34:28

120

Views

Classification of subspaces of $\mathbb{R}^2$ up to homeomorphism

Published on 25 Mar 2026 - 13:34

score 340 · Answer 10 · 2018-01-28 16:14:29

340

Views

Proving a continuous function between two topological spaces must be constant.

Published on 28 Jan 2018 - 16:14

score 78 · Answer 11 · 2026-03-25 13:32:50

78

Views

Condition induces Null Homotopy

Published on 25 Mar 2026 - 13:32

score 53 · Answer 12 · 2026-03-25 13:42:11

53

Views

Pushout commutes with $- \times I$

Published on 25 Mar 2026 - 13:42

score 403 · Answer 13 · 2018-01-28 20:08:44

403

Views

Cantor's intersection theorem with diameters bounded below

Published on 28 Jan 2018 - 20:08

score 335 · Answer 14 · 2026-03-25 10:21:44

335

Views

Find the intersection of all $T_2$ topologies on an infinite set $X$

Published on 25 Mar 2026 - 10:21

score 174 · Answer 15 · 2026-03-17 07:51:43

174

Views

Proof explanation to see that subset of $\mathbb{R}^2$ is not path connected.

Published on 17 Mar 2026 - 7:51

List Question

Given $f$, does there exist $f_t$ with $f_t(f_{t'}) = f_{t+t'}$ and $f_1 = f$?

Show that the set $\{(x,y): xy=1, x>0\}$ is closed

Is $\{f \in \mathcal{C}[0,1]| \int_0^\frac{1}{2}f - \int_\frac{1}{2}^1 f = 1\}$ a connected set?

Compactness of [0,1] lower limit topology

Topology where infinite sets are closed is the discrete

A somewhat pathological function

Failing to understand a proof in topology.

Assumption from Tietze's extension theorem as a sufficient condition for a set in metric space to be closed

Classification of subspaces of $\mathbb{R}^2$ up to homeomorphism

Proving a continuous function between two topological spaces must be constant.

Condition induces Null Homotopy

Pushout commutes with $- \times I$

Cantor's intersection theorem with diameters bounded below

Find the intersection of all $T_2$ topologies on an infinite set $X$

Proof explanation to see that subset of $\mathbb{R}^2$ is not path connected.

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