Question

Is this proof that a continuous image of a compact metric space is compact correct?

score 1.1k · Answer 1 · 2026-04-14 06:37:07

1.1k

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Is this proof that a continuous image of a compact metric space is compact correct?

Published on 14 Apr 2026 - 6:37

score 197 · Answer 2 · 2026-04-11 19:16:10

197

Views

Proving Abelian Group Decomposition Uniqueness

Published on 11 Apr 2026 - 19:16

score 140 · Answer 3 · 2026-04-15 09:26:38

For an odd prime, the hyper-factorial and double-factorial are connected by the relation $H(p-1) \equiv (-1)^{\frac{p-1}{2}}(p-1)!!(\mod{p})$

score 105 · Answer 4 · 2026-04-11 22:19:05

105

Views

Proof of divergence for complex number non-cauchy sequence

Published on 11 Apr 2026 - 22:19

score 222 · Answer 5 · 2026-04-15 02:56:17

222

Views

Pullback of etale cover along itself

Published on 15 Apr 2026 - 2:56

score 132 · Answer 6 · 2026-04-14 05:50:09

132

Views

Why is $e^{it}$ a submersion, and what is the relationship between the derivative $\dot h(t)$ and the differential $h_{*,t}$?

Published on 14 Apr 2026 - 5:50

score 31 · Answer 7 · 2026-04-14 22:17:49

31

Views

How to obtain the boundedness of $\{a_{n}\}_{n}$

Published on 14 Apr 2026 - 22:17

score 224 · Answer 8 · 2026-03-25 09:25:20

224

Views

Unexpected proof that $\alpha!$ divides $k!$ if $\alpha_1 + \dots + \alpha_n = k$.

Published on 25 Mar 2026 - 9:25

score 55 · Answer 9 · 2026-04-13 06:41:39

55

Views

Request for verification of the technique for deducing vertices of a polytope

Published on 13 Apr 2026 - 6:41

score 368 · Answer 10 · 2026-04-15 20:42:22

368

Views

Hartshorne's relative dimension in definition of smoothness

Published on 15 Apr 2026 - 20:42

score 156 · Answer 11 · 2026-04-29 20:15:23

156

Views

The rank of an ordered pair.

Published on 29 Apr 2026 - 20:15

score 809 · Answer 12 · 2026-04-14 06:22:03

809

Views

Suppose $n\in\mathbb{Z}$. If $3 \nmid n^2$, then $3 \nmid n$.

Published on 14 Apr 2026 - 6:22

score 123 · Answer 13 · 2026-04-15 23:32:46

123

Views

Unjustified assumption in proving that if $d\mid n$ then $d$ only contains primes that occur in $n$

Published on 15 Apr 2026 - 23:32

score 183 · Answer 14 · 2026-04-09 02:10:10

183

Views

Proof using well ordering principle

Published on 09 Apr 2026 - 2:10

score 68 · Answer 15 · 2026-04-12 19:16:43

68

Views

Exericse about linear map $T\in L(V)$, where $\dim V=n\geq2$, with $\operatorname{null}T^{n-1}\neq\operatorname{null}T^n$

Published on 12 Apr 2026 - 19:16

List Question

Is this proof that a continuous image of a compact metric space is compact correct?

Proving Abelian Group Decomposition Uniqueness

For an odd prime, the hyper-factorial and double-factorial are connected by the relation $H(p-1) \equiv (-1)^{\frac{p-1}{2}}(p-1)!!(\mod{p})$

Proof of divergence for complex number non-cauchy sequence

Pullback of etale cover along itself

Why is $e^{it}$ a submersion, and what is the relationship between the derivative $\dot h(t)$ and the differential $h_{*,t}$?

How to obtain the boundedness of $\{a_{n}\}_{n}$

Unexpected proof that $\alpha!$ divides $k!$ if $\alpha_1 + \dots + \alpha_n = k$.

Request for verification of the technique for deducing vertices of a polytope

Hartshorne's relative dimension in definition of smoothness

The rank of an ordered pair.

Suppose $n\in\mathbb{Z}$. If $3 \nmid n^2$, then $3 \nmid n$.

Unjustified assumption in proving that if $d\mid n$ then $d$ only contains primes that occur in $n$

Proof using well ordering principle

Exericse about linear map $T\in L(V)$, where $\dim V=n\geq2$, with $\operatorname{null}T^{n-1}\neq\operatorname{null}T^n$

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