Suppose that $f : X \to Y$ is a homeomorphism and $U$ is an open subset of $X$. Show that the restriction $f|_U$ is a homeomorphism from $U$ to $f[U]$

score 40 · Answer 9 · 2026-04-02 13:09:57

40

Views

Can we choose a continuous solution trajectory for a linear function

Published on 02 Apr 2026 - 13:09

score 54 · Answer 10 · 2026-03-26 02:55:08

54

Views

$\langle T(x),y\rangle = 0,\forall x,y\in \beta$ implies $T=0$

Published on 26 Mar 2026 - 2:55

score 63 · Answer 11 · 2018-06-13 22:49:28

63

Views

Is my solution for the divergence of this series correct?

Published on 13 Jun 2018 - 22:49

score 1.6k · Answer 12 · 2018-06-14 08:12:28

1.6k

Views

How to distribute distinct/identical objects into distinct bins if at least some bin must contain more than one object?

Published on 14 Jun 2018 - 8:12

score 29 · Answer 13 · 2026-03-30 14:18:16

29

Views

Proof Comparison in linear algebra

Published on 30 Mar 2026 - 14:18

score 8.1k · Answer 14 · 2026-03-26 14:34:35

8.1k

Views

Fourier Series of $\ f(x)=1-x^2\ $ Verification

Published on 26 Mar 2026 - 14:34

score 66 · Answer 15 · 2026-04-01 11:04:23

66

Views

Is $\overline E$ the set of limits of all convergent sequences in $E$?

Published on 01 Apr 2026 - 11:04

List Question

$\operatorname{rank}(A+B) \le \operatorname{rank}(A) + \operatorname{rank}(B)$

Measure theory problem in Cramér–Rao inequality proof

Calculate the maximum of $f(x,y)=\left|\frac{\sin(xy)}{x\sqrt{y}}\right|$

If $v\in\operatorname{span}(v_i)$ has unique representation, then $(v_i)$ is linearly independent.

Verification of proof on Bounded Variation.

Each element of a class is a set

Can the sum of two limits exist when one of them exists and the other doesn't?

Suppose that $f : X \to Y$ is a homeomorphism and $U$ is an open subset of $X$. Show that the restriction $f|_U$ is a homeomorphism from $U$ to $f[U]$

Can we choose a continuous solution trajectory for a linear function

$\langle T(x),y\rangle = 0,\forall x,y\in \beta$ implies $T=0$

Is my solution for the divergence of this series correct?

How to distribute distinct/identical objects into distinct bins if at least some bin must contain more than one object?

Proof Comparison in linear algebra

Fourier Series of $\ f(x)=1-x^2\ $ Verification

Is $\overline E$ the set of limits of all convergent sequences in $E$?

Trending Questions

Popular # Hahtags

Popular Questions