Question

Compact subset in a Hausdorff space, is closed.

score 1.4k · Answer 1 · 2018-07-21 15:48:24

1.4k

Views

Compact subset in a Hausdorff space, is closed.

Published on 21 Jul 2018 - 15:48

score 85 · Answer 2 · 2018-07-22 18:40:36

85

Views

Homeomorphism with image and diffeomorphism with image

Published on 22 Jul 2018 - 18:40

score 58 · Answer 3 · 2018-07-25 13:14:24

58

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 25 Jul 2018 - 13:14

score 336 · Answer 4 · 2018-07-26 14:16:59

336

Views

Does Wolfram MathWorld misstate Glasser's master theorem?

Published on 26 Jul 2018 - 14:16

score 3.1k · Answer 5 · 2018-07-27 16:01:51

3.1k

Views

Prove that the closure of a set is closed

Published on 27 Jul 2018 - 16:01

score 2.5k · Answer 6 · 2026-03-13 15:03:06

2.5k

Views

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

Published on 13 Mar 2026 - 15:03

score 304 · Answer 7 · 2026-03-12 22:03:46

304

Views

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

Published on 12 Mar 2026 - 22:03

score 3k · Answer 8 · 2018-07-31 21:00:09

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 31 Jul 2018 - 21:00

score 399 · Answer 9 · 2018-08-01 14:25:53

399

Views

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

Published on 01 Aug 2018 - 14:25

score 595 · Answer 10 · 2018-08-06 16:05:40

595

Views

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

Published on 06 Aug 2018 - 16:05

score 256 · Answer 11 · 2018-08-06 17:08:46

256

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 06 Aug 2018 - 17:08

score 507 · Answer 12 · 2018-08-07 10:17:25

507

Views

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

Published on 07 Aug 2018 - 10:17

score 357 · Answer 13 · 2018-08-08 07:00:05

357

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 08 Aug 2018 - 7:00

score 304 · Answer 14 · 2018-08-08 12:38:06

304

Views

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

Published on 08 Aug 2018 - 12:38

score 206 · Answer 15 · 2018-08-10 09:16:53

206

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 10 Aug 2018 - 9:16

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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