Question

Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem

score 2.6k · Answer 1 · 2026-03-25 18:47:37

2.6k

Views

Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem

Published on 25 Mar 2026 - 18:47

score 76 · Answer 2 · 2026-03-25 09:29:01

76

Views

Show that if x and y are of same length, there must exist an isometry with f(x) = y

Published on 25 Mar 2026 - 9:29

score 124 · Answer 3 · 2018-11-11 06:25:58

124

Views

$A$ has empty interior iff $A^c$ is dense in M.

Published on 11 Nov 2018 - 6:25

score 459 · Answer 4 · 2018-11-11 07:32:00

459

Views

Proving a metric space - $(\mathbb R^n, d_\infty)$

Published on 11 Nov 2018 - 7:32

score 442 · Answer 5 · 2026-03-29 05:12:29

442

Views

Metric Space - A point outside unit ball in $l^1(\mathbb R^2)$ and inside unit ball in $l^\infty (\mathbb R^2)$.

Published on 29 Mar 2026 - 5:12

score 38 · Answer 6 · 2018-11-11 15:03:46

38

Views

metric spaces: clarification on Open and Closed sets.

Published on 11 Nov 2018 - 15:03

score 176 · Answer 7 · 2018-11-11 16:12:15

176

Views

Homeomorphism preserves category

Published on 11 Nov 2018 - 16:12

score 34 · Answer 8 · 2018-11-11 18:26:40

34

Views

Proving if $f_n(a)\to f(a)$ then $f(a)=a$ in $C_{[0,1]}$

Published on 11 Nov 2018 - 18:26

score 281 · Answer 9 · 2026-02-23 06:28:54

281

Views

Show that support function of any set in $\mathbb{R}^n$ is lower semi-continuous function.

Published on 23 Feb 2026 - 6:28

score 1.3k · Answer 10 · 2026-03-25 10:25:13

1.3k

Views

Continuous function $f:X\to X$ such that $d(f(x), f(y)) < d(x, y)$ whenever $x\neq y$, has a fixed point in complete metric space.

Published on 25 Mar 2026 - 10:25

score 110 · Answer 11 · 2018-11-12 04:50:34

110

Views

Show that $\overline{E_{1}\cup E_{2}}=\overline{E_1}\cup\overline{E_{2}}$.

Published on 12 Nov 2018 - 4:50

score 808 · Answer 12 · 2018-11-12 10:56:32

808

Views

Are second-countable metric spaces $\sigma$-compact?

Published on 12 Nov 2018 - 10:56

score 43 · Answer 13 · 2018-11-12 18:26:07

43

Views

Does ordered set hold between two different metrics

Published on 12 Nov 2018 - 18:26

score 110 · Answer 14 · 2018-11-12 21:48:46

110

Views

Extension of a non-negative and symmetric real valued function to a pseudometric

Published on 12 Nov 2018 - 21:48

score 586 · Answer 15 · 2026-04-03 04:53:10

586

Views

Proving $A\iff(B\implies C)$ (in Rudin 4.2 definition of a limit of a function)

Published on 03 Apr 2026 - 4:53

List Question

Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem

Show that if x and y are of same length, there must exist an isometry with f(x) = y

$A$ has empty interior iff $A^c$ is dense in M.

Proving a metric space - $(\mathbb R^n, d_\infty)$

Metric Space - A point outside unit ball in $l^1(\mathbb R^2)$ and inside unit ball in $l^\infty (\mathbb R^2)$.

metric spaces: clarification on Open and Closed sets.

Homeomorphism preserves category

Proving if $f_n(a)\to f(a)$ then $f(a)=a$ in $C_{[0,1]}$

Show that support function of any set in $\mathbb{R}^n$ is lower semi-continuous function.

Continuous function $f:X\to X$ such that $d(f(x), f(y)) < d(x, y)$ whenever $x\neq y$, has a fixed point in complete metric space.

Show that $\overline{E_{1}\cup E_{2}}=\overline{E_1}\cup\overline{E_{2}}$.

Are second-countable metric spaces $\sigma$-compact?

Does ordered set hold between two different metrics

Extension of a non-negative and symmetric real valued function to a pseudometric

Proving $A\iff(B\implies C)$ (in Rudin 4.2 definition of a limit of a function)

Trending Questions

Popular # Hahtags

Popular Questions