List questions from metric-spaces

Published on 24 Jul 2019 - 1:02

159

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Negation Of A Definition Of A Compact Space

Published on 24 Jul 2019 - 11:32

35

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Consider $A = \mathbb{R} \times \{0\} \subset \mathbb{R}^2$ . what is the boundary of $A$ in $\mathbb{R}^2$?

Published on 25 Jul 2019 - 9:37

38

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Compactness and metric space

Published on 01 Apr 2026 - 7:50

87

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Existence of a metric on powerset of a metric space

Published on 25 Mar 2026 - 11:07

356

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In a metric space, any convergent sequence taking only finitely many distinct values is ultimately constant

Published on 25 Jul 2019 - 14:03

475

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Question about Baby Rudin Theorem 2.20

Published on 25 Jul 2019 - 16:58

102

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Showing a specific metric is incomplete

Published on 26 Mar 2026 - 4:50

146

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Complete metric space problem

Published on 01 Apr 2026 - 9:28

142

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Is there any way of visually interpreting Weierstrass M test?

Published on 27 Jul 2019 - 5:24

96

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Which topology is transferred by this specific metric on the rectangle $[0,\infty] \times [0 , \infty ]$?

Published on 23 Feb 2026 - 8:25

72

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$d(x,Y)=0 \ \iff \ x\in\overline{Y}$

Published on 28 Mar 2026 - 2:22

2.1k

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What is the definition of a bounded sequence in a metric space?

Published on 03 Apr 2026 - 5:34

31

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$1.)$ Is $d(A) = d( \bar A)$ ? $2.)$ Is $d(A) = d(A^{o})$?

Published on 27 Jul 2019 - 22:35

868

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An infinite dimensional closed subspace of $C[0,1]$

Published on 29 Mar 2026 - 16:49

List Question

Coercive functions and polynomials

Negation Of A Definition Of A Compact Space

Consider $A = \mathbb{R} \times \{0\} \subset \mathbb{R}^2$ . what is the boundary of $A$ in $\mathbb{R}^2$?

Compactness and metric space

Existence of a metric on powerset of a metric space

In a metric space, any convergent sequence taking only finitely many distinct values is ultimately constant

Question about Baby Rudin Theorem 2.20

Showing a specific metric is incomplete

Complete metric space problem

Is there any way of visually interpreting Weierstrass M test?

Which topology is transferred by this specific metric on the rectangle $[0,\infty] \times [0 , \infty ]$?

$d(x,Y)=0 \ \iff \ x\in\overline{Y}$

What is the definition of a bounded sequence in a metric space?

$1.)$ Is $d(A) = d( \bar A)$ ? $2.)$ Is $d(A) = d(A^{o})$?

An infinite dimensional closed subspace of $C[0,1]$

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