Question

Compact subset in a Hausdorff space, is closed.

score 1.4k · Answer 1 · 2026-04-13 00:40:11

1.4k

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Compact subset in a Hausdorff space, is closed.

Published on 13 Apr 2026 - 0:40

score 88 · Answer 2 · 2026-04-16 04:05:57

88

Views

Homeomorphism with image and diffeomorphism with image

Published on 16 Apr 2026 - 4:05

score 61 · Answer 3 · 2026-04-16 15:23:46

61

Views

Group Theory: Proving if $G = \langle x \rangle$, $|G| = r$, then $G' = \langle x^a \rangle = G$ provided $a$ is coprime to $r$.

Published on 16 Apr 2026 - 15:23

score 339 · Answer 4 · 2026-04-10 12:25:17

339

Views

Does Wolfram MathWorld misstate Glasser's master theorem?

Published on 10 Apr 2026 - 12:25

score 3.1k · Answer 5 · 2026-04-16 03:44:38

3.1k

Views

Prove that the closure of a set is closed

Published on 16 Apr 2026 - 3:44

score 2.5k · Answer 6 · 2026-05-10 16:02:31

2.5k

Views

Suppose $f$ holomorphic and its image is a subset of the unit circle. Then show f is constant.

Published on 10 May 2026 - 16:02

score 306 · Answer 7 · 2026-05-10 16:02:34

306

Views

Why is $w$ real if z is on the circle through $z_1,z_2,z_3$?

Published on 10 May 2026 - 16:02

score 3k · Answer 8 · 2026-04-15 04:39:13

3k

Views

For all sets $A$, $B$, and $C$, if $A \cap C \subseteq B \cap C$ and $A \cup C \subseteq B \cup C$, then $A \subseteq B$.

Published on 15 Apr 2026 - 4:39

score 401 · Answer 9 · 2026-04-15 04:01:26

401

Views

Find and relate an antiderivative to proving Cauchy's Integral Formula for a convex region

Published on 15 Apr 2026 - 4:01

score 598 · Answer 10 · 2026-04-15 03:56:38

598

Views

$f$ zero (essential singularity) $\implies \frac 1 f$ pole (essential singularity)

Published on 15 Apr 2026 - 3:56

score 259 · Answer 11 · 2026-04-15 16:57:17

259

Views

Show that a holomorphic function $f$ has a pole iff we can find $g$ s.t. $f(z) = \frac{g(z)}{(z-z_0)^m}$

Published on 15 Apr 2026 - 16:57

score 510 · Answer 12 · 2026-04-17 07:49:54

510

Views

Rank-$1$ matrices and the inequality $\operatorname{rank} (A+B) \leq \operatorname{rank} (A) + \operatorname{rank} (B)$

Published on 17 Apr 2026 - 7:49

score 360 · Answer 13 · 2026-04-16 05:30:54

360

Views

Prove $ \lim_{z \rightarrow z_o} f(z)$ is finite if $\lim_{z \rightarrow z_o} (z-z_0) f(z) = 0$

Published on 16 Apr 2026 - 5:30

score 307 · Answer 14 · 2026-04-11 19:33:34

307

Views

Can we prove that $\overline{z}^2$ has no antiderivative without using Morera's Theorem?

Published on 11 Apr 2026 - 19:33

score 209 · Answer 15 · 2026-04-15 02:19:36

209

Views

If f is differentiable in a region $G$, then f is infinitely differentiable in G, and all partials of $f$ are continuous

Published on 15 Apr 2026 - 2:19

List Question

Compact subset in a Hausdorff space, is closed.

Homeomorphism with image and diffeomorphism with image

Group Theory: Proving if $G = \langle x \rangle$, $|G| = r$, then $G' = \langle x^a \rangle = G$ provided $a$ is coprime to $r$.

Does Wolfram MathWorld misstate Glasser's master theorem?

Prove that the closure of a set is closed

Suppose $f$ holomorphic and its image is a subset of the unit circle. Then show f is constant.

Why is $w$ real if z is on the circle through $z_1,z_2,z_3$?

For all sets $A$, $B$, and $C$, if $A \cap C \subseteq B \cap C$ and $A \cup C \subseteq B \cup C$, then $A \subseteq B$.

Find and relate an antiderivative to proving Cauchy's Integral Formula for a convex region

$f$ zero (essential singularity) $\implies \frac 1 f$ pole (essential singularity)

Show that a holomorphic function $f$ has a pole iff we can find $g$ s.t. $f(z) = \frac{g(z)}{(z-z_0)^m}$

Rank-$1$ matrices and the inequality $\operatorname{rank} (A+B) \leq \operatorname{rank} (A) + \operatorname{rank} (B)$

Prove $ \lim_{z \rightarrow z_o} f(z)$ is finite if $\lim_{z \rightarrow z_o} (z-z_0) f(z) = 0$

Can we prove that $\overline{z}^2$ has no antiderivative without using Morera's Theorem?

If f is differentiable in a region $G$, then f is infinitely differentiable in G, and all partials of $f$ are continuous

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