List questions from solution-verification

Published on 27 Mar 2026 - 18:08

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First countable space

Published on 25 Mar 2026 - 9:44

567

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open balls and rational centers and radii

Published on 23 Dec 2019 - 10:01

26

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Example of a discontinuous function for which limit of the differential quotient exists in $\mathbb R\cup\{-\infty,+\infty\}$

Published on 23 Dec 2019 - 11:52

38

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ratio test with $\lim \sup $

Published on 26 Mar 2026 - 4:29

108

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Second Countability and Countability

Published on 23 Dec 2019 - 14:17

72

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second countable topological space and covers

Published on 23 Dec 2019 - 15:17

47

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The dimension of $V=\{X \in M_{n \times p}(\mathbb{R}): TX= 0\}$

Published on 23 Dec 2019 - 19:17

50

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Tangent space of embedding of $\mathsf{U}(n)$ in $\mathsf{SO}(2n)$

Published on 23 Dec 2019 - 20:59

1.3k

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Proof for showing linear independence

Published on 23 Dec 2019 - 22:07

162

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Lipschitz Condition and Optimization

Published on 26 Mar 2026 - 20:43

382

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Prove that there exists a polynomial p(x) with coefficients belonging to the set {-1, 0, 1} such that p(3) = n, for some positive integer n

Published on 24 Dec 2019 - 0:25

124

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Let $S$ be a semigroup. If every finitely generated $T\lt S$ is embeddable in a group then $S$ is embeddable in a group.

Published on 26 Mar 2026 - 1:10

67

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Lindelöf space condition

Published on 28 Mar 2026 - 10:55

72

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To show that for $n\geq 1$ Each $n$ element set has $2^{n-1}$ subsets of even and odd size each

Published on 24 Dec 2019 - 15:38

List Question

Simple proof of Sylow's theorems for Abelian groups?

First countable space

open balls and rational centers and radii

Example of a discontinuous function for which limit of the differential quotient exists in $\mathbb R\cup\{-\infty,+\infty\}$

ratio test with $\lim \sup $

Second Countability and Countability

second countable topological space and covers

The dimension of $V=\{X \in M_{n \times p}(\mathbb{R}): TX= 0\}$

Tangent space of embedding of $\mathsf{U}(n)$ in $\mathsf{SO}(2n)$

Proof for showing linear independence

Lipschitz Condition and Optimization

Prove that there exists a polynomial p(x) with coefficients belonging to the set {-1, 0, 1} such that p(3) = n, for some positive integer n

Let $S$ be a semigroup. If every finitely generated $T\lt S$ is embeddable in a group then $S$ is embeddable in a group.

Lindelöf space condition

To show that for $n\geq 1$ Each $n$ element set has $2^{n-1}$ subsets of even and odd size each

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