Question

Path-conectedness of open balls implies path-connectedness

score 381 · Answer 1 · 2026-04-10 02:43:31

381

Views

Path-conectedness of open balls implies path-connectedness

Published on 10 Apr 2026 - 2:43

score 183 · Answer 2 · 2026-04-10 18:20:52

183

Views

set of closed points is dense in Spec $A$

Published on 10 Apr 2026 - 18:20

score 395 · Answer 3 · 2026-04-17 06:09:30

395

Views

Picture of the Universal Cover of the Hyperbolic Pair of Pants

Published on 17 Apr 2026 - 6:09

score 37 · Answer 4 · 2026-04-16 17:23:32

37

Views

Find all sequences, which convergence to $x_1 = 0$ and $x_2= \frac{1}{3}$

Published on 16 Apr 2026 - 17:23

score 50 · Answer 5 · 2026-04-15 13:44:16

50

Views

Prove that $A$ is homeomorphic to $S^1\times[1,2]$ where $A$ and $S^1$ are defined below:

Published on 15 Apr 2026 - 13:44

score 59 · Answer 6 · 2026-04-15 03:08:59

59

Views

Find the limit of sequence with respect to a given topology

Published on 15 Apr 2026 - 3:08

score 3.2k · Answer 7 · 2026-04-11 07:47:09

3.2k

Views

The product of locally compact spaces is locally compact

Published on 11 Apr 2026 - 7:47

score 112 · Answer 8 · 2026-04-16 19:51:45

112

Views

One Point Compactification of $\mathbf{R}^n-\{0\}$

Published on 16 Apr 2026 - 19:51

score 349 · Answer 9 · 2026-04-13 13:46:25

349

Views

Homeomorphisms on $\mathbb{R}$

Published on 13 Apr 2026 - 13:46

score 61 · Answer 10 · 2026-04-12 20:16:58

61

Views

Check if function is continuous in metrix space

Published on 12 Apr 2026 - 20:16

score 601 · Answer 11 · 2026-04-12 08:31:10

601

Views

Using Mean Value Theorem to prove $f$ is a contraction

Published on 12 Apr 2026 - 8:31

score 58 · Answer 12 · 2026-04-12 08:42:35

58

Views

Are continuous functions between Hausdorff spaces always equal on a closed set?

Published on 12 Apr 2026 - 8:42

score 556 · Answer 13 · 2026-04-15 09:29:37

556

Views

Suppose $X$ is a complete metric space. Is the complement of a countable union of nowhere-dense sets a dense set?

Published on 15 Apr 2026 - 9:29

score 96 · Answer 14 · 2026-04-12 06:35:36

96

Views

Please check the proof of the following theorem

Published on 12 Apr 2026 - 6:35

score 93 · Answer 15 · 2026-04-13 20:38:58

93

Views

Necessary, but not sufficient for showing $f$ is measurable.

Published on 13 Apr 2026 - 20:38

List Question

Path-conectedness of open balls implies path-connectedness

set of closed points is dense in Spec $A$

Picture of the Universal Cover of the Hyperbolic Pair of Pants

Find all sequences, which convergence to $x_1 = 0$ and $x_2= \frac{1}{3}$

Prove that $A$ is homeomorphic to $S^1\times[1,2]$ where $A$ and $S^1$ are defined below:

Find the limit of sequence with respect to a given topology

The product of locally compact spaces is locally compact

One Point Compactification of $\mathbf{R}^n-\{0\}$

Homeomorphisms on $\mathbb{R}$

Check if function is continuous in metrix space

Using Mean Value Theorem to prove $f$ is a contraction

Are continuous functions between Hausdorff spaces always equal on a closed set?

Suppose $X$ is a complete metric space. Is the complement of a countable union of nowhere-dense sets a dense set?

Please check the proof of the following theorem

Necessary, but not sufficient for showing $f$ is measurable.

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