Question

Proving that the intersection of any finite number of members of T belongs to T when (X,T) is a topological space.

score 1.2k · Answer 1 · 2026-04-16 11:14:14

1.2k

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Proving that the intersection of any finite number of members of T belongs to T when (X,T) is a topological space.

Published on 16 Apr 2026 - 11:14

score 25 · Answer 2 · 2026-04-14 07:41:23

25

Views

Problem with truthfulness of equivalence.

Published on 14 Apr 2026 - 7:41

score 328 · Answer 3 · 2026-04-12 19:14:38

328

Views

Every isometry of a compact metric space into itself is onto

Published on 12 Apr 2026 - 19:14

score 639 · Answer 4 · 2026-04-11 17:02:31

639

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Proof that $x\sin(x)$ has infinite accumulation points

Published on 11 Apr 2026 - 17:02

score 74 · Answer 5 · 2026-04-11 06:43:22

74

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the augmented matrix of a system of equations

Published on 11 Apr 2026 - 6:43

score 80 · Answer 6 · 2026-04-11 19:09:10

80

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Proof question: If $4 \not \mid a^2$, then $a$ is odd.

Published on 11 Apr 2026 - 19:09

score 1.4k · Answer 7 · 2026-04-15 06:15:59

1.4k

Views

Showing that not all reals are algebraic using countability

Published on 15 Apr 2026 - 6:15

score 56 · Answer 8 · 2026-04-14 03:22:54

56

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DeMorgan's Law regarding unindexed families of sets

Published on 14 Apr 2026 - 3:22

score 154 · Answer 9 · 2026-04-29 21:15:37

154

Views

can you perform induction by assuming k and k+1 and showing difference is correct.

Published on 29 Apr 2026 - 21:15

score 290 · Answer 10 · 2026-04-15 20:03:59

290

Views

Check My Proof: Finite Intersection Property

Published on 15 Apr 2026 - 20:03

score 644 · Answer 11 · 2026-04-14 01:18:38

644

Views

Proof verification: Let $K$ be compact, then there exists disjoint open subsets $U,V \subset X$ so that $x \in U$ and $K \subset V$

Published on 14 Apr 2026 - 1:18

score 1.1k · Answer 12 · 2026-04-12 04:37:31

1.1k

Views

Prove recurrence relation by induction

Published on 12 Apr 2026 - 4:37

score 75 · Answer 13 · 2026-04-11 11:08:20

75

Views

Is that statement true or false?

Published on 11 Apr 2026 - 11:08

score 83 · Answer 14 · 2026-04-14 16:35:43

83

Views

Let $\{x_n\}$ be a sequence such that $\forall k > 1 \in \Bbb N$ its subsequence $\{x_{pk}\}$ converges to $1$. Does $\{x_n\}$ converge to $1$?

Published on 14 Apr 2026 - 16:35

score 492 · Answer 15 · 2026-04-15 02:04:26

492

Views

Rudin exercise 3.8 solution

Published on 15 Apr 2026 - 2:04

List Question

Proving that the intersection of any finite number of members of T belongs to T when (X,T) is a topological space.

Problem with truthfulness of equivalence.

Every isometry of a compact metric space into itself is onto

Proof that $x\sin(x)$ has infinite accumulation points

the augmented matrix of a system of equations

Proof question: If $4 \not \mid a^2$, then $a$ is odd.

Showing that not all reals are algebraic using countability

DeMorgan's Law regarding unindexed families of sets

can you perform induction by assuming k and k+1 and showing difference is correct.

Check My Proof: Finite Intersection Property

Proof verification: Let $K$ be compact, then there exists disjoint open subsets $U,V \subset X$ so that $x \in U$ and $K \subset V$

Prove recurrence relation by induction

Is that statement true or false?

Let $\{x_n\}$ be a sequence such that $\forall k > 1 \in \Bbb N$ its subsequence $\{x_{pk}\}$ converges to $1$. Does $\{x_n\}$ converge to $1$?

Rudin exercise 3.8 solution

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