List questions from metric-spaces

Published on 09 Feb 2019 - 22:43

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How do I prove that a subset of a metric space is open?

Published on 09 Feb 2019 - 22:56

44

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The intersection of Riemann-Stieltjes integrable functions

Published on 10 Feb 2019 - 5:06

43

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Is closedness assumption is essential in following argument?

Published on 28 Mar 2026 - 8:10

63

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Compact or open $\{0\}\cup\{\frac1n + \frac1m | m,n \in N\})$ in R?

Published on 29 Mar 2026 - 16:21

46

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Immersions are continuous

Published on 10 Feb 2019 - 22:40

107

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The axioms of a topological space.

Published on 11 Feb 2019 - 0:33

118

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Is $GL_n(\mathbb{C})$ under trace norm homeomorphic to some $\mathbb R^m$?

Published on 29 Mar 2026 - 17:02

83

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unusual "distance" in complex space

Published on 06 Apr 2026 - 5:52

237

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Uniform continuity with respect to one variable?

Published on 11 Feb 2019 - 15:28

408

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Proving that the interior of a metric space is open.

Published on 11 Feb 2019 - 20:22

45

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Continuity in a point in a metric space

Published on 12 Feb 2019 - 5:50

363

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Are metrics uniformly equivalent if and only if they have the same zero-distance sets?

Published on 23 Feb 2026 - 2:47

51

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how we can add a 2-tensor to a 1-form?

Published on 28 Mar 2026 - 19:39

355

Views

Step functions and Riemann-Stieltjes Integration

Published on 12 Feb 2019 - 21:42

List Question

Prove $ \sup\limits_{t \in A} |x(t) - y(t)|$ defines a metric for the space of bounded functions.

How do I prove that a subset of a metric space is open?

The intersection of Riemann-Stieltjes integrable functions

Is closedness assumption is essential in following argument?

Compact or open $\{0\}\cup\{\frac1n + \frac1m | m,n \in N\})$ in R?

Immersions are continuous

The axioms of a topological space.

Is $GL_n(\mathbb{C})$ under trace norm homeomorphic to some $\mathbb R^m$?

unusual "distance" in complex space

Uniform continuity with respect to one variable?

Proving that the interior of a metric space is open.

Continuity in a point in a metric space

Are metrics uniformly equivalent if and only if they have the same zero-distance sets?

how we can add a 2-tensor to a 1-form?

Step functions and Riemann-Stieltjes Integration

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