User Hermès

50 votes

Accepted

Closure of the union = Union of closures

answered Oct 26, 2016 at 16:12

5 votes

Hölder continuity of integral function

answered Aug 14, 2018 at 16:50

4 votes

Accepted

Prove that $[0,1)\cong( -\infty,a]$

answered Oct 24, 2018 at 14:03

4 votes

Set-theoretic proof for $A\setminus(B\setminus C) = (A\setminus B) \cup C$, provided that $C\subseteq A$

answered Oct 26, 2016 at 17:03

4 votes

Proving that $\mathbb{R}/ \sim $ is homeomorphic to $S^1$

answered Oct 30, 2016 at 23:29

4 votes

Prove that if $V \cap \text{Span}\{u_1, u_2,...,u_k\} = \{ 0\} $, then $Au_1, Au_2,...,Au_k$ are linearly independent

answered Oct 8, 2016 at 8:31

4 votes

Accepted

Applying Zorn's lemma

answered Oct 3, 2016 at 20:38

4 votes

Looking for two closed sets satisfying some properties

answered Feb 23, 2018 at 21:44

3 votes

How to evaluate $\sum_{r=1}^{n}n-r$

answered Feb 13, 2017 at 17:50

3 votes

Accepted

Existence of closed intervals with specific length

answered Feb 16, 2017 at 15:41

3 votes

Accepted

Regarding locally integrable functions as distributions

answered Feb 19, 2017 at 21:56

3 votes

Accepted

If $f(x)=3 f(1-x)+1$ for all $x$, the value of $f(2016)$?

answered Nov 15, 2016 at 22:03

3 votes

$S \not= \varnothing \implies \varnothing \subset S$?

answered Nov 25, 2016 at 14:22

3 votes

Subordinate matrix norm of $1$-norm

answered Oct 5, 2016 at 16:54

3 votes

Proving a space is a Banach space.

answered Oct 6, 2016 at 13:28

3 votes

Why is a path connected subset of R an interval?

answered Mar 7, 2016 at 13:37

3 votes

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Distance of element of normed space to finite dimensional subspace is realised by element of subspace

answered Oct 2, 2016 at 12:54

3 votes

Accepted

Pointwise limit of a sequence of continuous functions is upper semicontinuous

answered Oct 23, 2016 at 22:59

3 votes

Accepted

Uniform continuity Hilbert

answered Oct 30, 2016 at 21:44

3 votes

Accepted

Given $\epsilon>0$ s.t. $P(A_n)\geq \epsilon$ for all n, does it follow that there exists a subsequence $\{n_k\}$ s.t. $P(\cap_kA_{n_k})>0$

answered Oct 27, 2016 at 14:54

3 votes

Accepted

Is my proposition correct?

answered Apr 7, 2020 at 10:22

2 votes

Accepted

On Grassmann manifold

answered Jul 18, 2019 at 11:46

2 votes

Compute operator norm of $l^1$ bounded operator

answered Oct 25, 2016 at 10:18

2 votes

show that $V = \text{ker}(f) \oplus \text{im}(f)$ when $f^2 = f$

answered Oct 25, 2016 at 22:30

2 votes

Accepted

is it true that $(\bigcap_{i=1}^{n} U_i)^c = \bigcup_{i=1}^{n} U_{i}^{c}$?

answered Oct 26, 2016 at 15:14

2 votes

Accepted

Probabilistic Independent Events Example

answered Oct 8, 2016 at 15:15

2 votes

Definition of complex differentiable

answered Oct 2, 2016 at 15:14

2 votes

Compact subset of an open subset of Euclidean Plane.

answered Sep 30, 2016 at 11:48

2 votes

Accepted

Examples of continuous maps s.t. their equality set is not closed

answered Sep 28, 2016 at 10:44

2 votes

Accepted

properties of Lebesgue integration on the set of all measurable functions $\mathcal{L}^0_+([0,\infty])$

answered Oct 2, 2016 at 20:36

Stack Exchange Network

85 Answers

Closure of the union = Union of closures

Hölder continuity of integral function

Prove that $[0,1)\cong( -\infty,a]$

Set-theoretic proof for $A\setminus(B\setminus C) = (A\setminus B) \cup C$, provided that $C\subseteq A$

Proving that $\mathbb{R}/ \sim $ is homeomorphic to $S^1$

Prove that if $V \cap \text{Span}\{u_1, u_2,...,u_k\} = \{ 0\} $, then $Au_1, Au_2,...,Au_k$ are linearly independent

Applying Zorn's lemma

Looking for two closed sets satisfying some properties

How to evaluate $\sum_{r=1}^{n}n-r$

Existence of closed intervals with specific length

Regarding locally integrable functions as distributions

If $f(x)=3 f(1-x)+1$ for all $x$, the value of $f(2016)$?

$S \not= \varnothing \implies \varnothing \subset S$?

Subordinate matrix norm of $1$-norm

Proving a space is a Banach space.

Why is a path connected subset of R an interval?

Distance of element of normed space to finite dimensional subspace is realised by element of subspace

Pointwise limit of a sequence of continuous functions is upper semicontinuous

Uniform continuity Hilbert

Given $\epsilon>0$ s.t. $P(A_n)\geq \epsilon$ for all n, does it follow that there exists a subsequence $\{n_k\}$ s.t. $P(\cap_kA_{n_k})>0$

Is my proposition correct?

On Grassmann manifold

Compute operator norm of $l^1$ bounded operator

show that $V = \text{ker}(f) \oplus \text{im}(f)$ when $f^2 = f$

is it true that $(\bigcap_{i=1}^{n} U_i)^c = \bigcup_{i=1}^{n} U_{i}^{c}$?

Probabilistic Independent Events Example

Definition of complex differentiable

Compact subset of an open subset of Euclidean Plane.

Examples of continuous maps s.t. their equality set is not closed

properties of Lebesgue integration on the set of all measurable functions $\mathcal{L}^0_+([0,\infty])$