List questions from continuity

Published on 13 Apr 2026 - 2:43

109

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Continuity of vector-valued function

Published on 29 Mar 2026 - 13:59

48

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Uniqueness and continuity of extension from $\mathbb{Q}^n$ to $\mathbb{R}^n$

Published on 24 Jun 2019 - 21:41

631

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proof verification: $f(x) = 1/x$ is not uniformly continuous on the open interval (0,1).

Published on 13 Apr 2026 - 6:21

56

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Confusion in understanding continuous function

Published on 08 Apr 2026 - 22:39

4k

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Can a nowhere continuous function have a connected graph?

Published on 10 Apr 2026 - 21:55

12.7k

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Show that $f(x,y) = \frac{x^3+y^3}{x-y}$ when $x \neq y$ is discontinuous at the origin

Published on 25 Jun 2019 - 15:06

65

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Continuous function and Topology.

Published on 12 Apr 2026 - 13:50

1k

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Inverse of a projection function

Published on 12 Apr 2026 - 19:23

203

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If $f$ has at most polynomial growth, then $g(x)=\int_0^\infty f(x,t)e^{-t}\;dt$ is continuous

Published on 12 Apr 2026 - 22:16

238

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Does there exist any continuous bijection between [0,1] and (0,1) and between [0,1] and IR?

Published on 12 Apr 2026 - 0:36

254

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Are the real eigenvalues of real symmetric matrices continuous?

Published on 12 Apr 2026 - 3:18

446

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Is Lipschitz space finite dimensional?

Published on 09 Apr 2026 - 11:56

76

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Compact ball in a closed subspace of X

Published on 12 Apr 2026 - 5:47

1.2k

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Continuity with two variables.

Published on 12 Apr 2026 - 18:14

List Question

Continuous dependence of eigenvalues on tangent-space endomorphisms

Continuity of vector-valued function

Uniqueness and continuity of extension from $\mathbb{Q}^n$ to $\mathbb{R}^n$

proof verification: $f(x) = 1/x$ is not uniformly continuous on the open interval (0,1).

Confusion in understanding continuous function

Can a nowhere continuous function have a connected graph?

Show that $f(x,y) = \frac{x^3+y^3}{x-y}$ when $x \neq y$ is discontinuous at the origin

Continuous function and Topology.

Inverse of a projection function

If $f$ has at most polynomial growth, then $g(x)=\int_0^\infty f(x,t)e^{-t}\;dt$ is continuous

Does there exist any continuous bijection between [0,1] and (0,1) and between [0,1] and IR?

Are the real eigenvalues of real symmetric matrices continuous?

Is Lipschitz space finite dimensional?

Compact ball in a closed subspace of X

Continuity with two variables.

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