Question

Superfluous proof in textbook? (For intersection of sequence of dense, open subsets of complete metric space is dense)

score 47 · Answer 1 · 2023-11-03 03:32:58

47

Views

Superfluous proof in textbook? (For intersection of sequence of dense, open subsets of complete metric space is dense)

Published on 03 Nov 2023 - 3:32

score 69 · Answer 2 · 2023-11-03 13:23:15

69

Views

Is it true that the intersection of two dense subspace of a linear normed space is also dense provided that one of them is of finite codimension?

Published on 03 Nov 2023 - 13:23

score 34 · Answer 3 · 2023-11-04 04:40:26

34

Views

A dense set of real numbers with predetermined Lebesgue measure

Published on 04 Nov 2023 - 4:40

score 27 · Answer 4 · 2023-11-05 21:46:36

27

Views

Density of matrix functions with non-zero determinant

Published on 05 Nov 2023 - 21:46

score 53 · Answer 5 · 2023-11-08 05:18:20

53

Views

Finitely generated dense subgroup of an unitary group

Published on 08 Nov 2023 - 5:18

score 64 · Answer 6 · 2023-11-13 16:49:34

64

Views

Nearly covering the complement of a nowhere dense set

Published on 13 Nov 2023 - 16:49

score 21 · Answer 7 · 2023-11-14 17:30:14

21

Views

Showing a certain dense subset of $\mathcal{C}^1([0,1]^2,\mathbb{R}^4)$ is residual.

Published on 14 Nov 2023 - 17:30

score 12 · Answer 8 · 2026-03-02 20:07:31

12

Views

Showing a Certain Set of Maps is dense

Published on 02 Mar 2026 - 20:07

score 108 · Answer 9 · 2023-11-16 19:05:20

108

Views

Extension of closed operator densely defined

Published on 16 Nov 2023 - 19:05

score 26 · Answer 10 · 2023-12-06 10:31:43

26

Views

Finite index dense normal subgroups of completely metrizable groups

Published on 06 Dec 2023 - 10:31

score 44 · Answer 11 · 2023-12-14 13:56:13

44

Views

Lebesgue measure of complement of Q-invariant set

Published on 14 Dec 2023 - 13:56

score 87 · Answer 12 · 2026-03-25 12:48:46

87

Views

Prove that simple functions are not dense in weak $L^{p,\infty}$

Published on 25 Mar 2026 - 12:48

score 24 · Answer 13 · 2024-01-17 21:09:22

24

Views

intersection of sets not dense implies interior of closure of intersection is not dense

Published on 17 Jan 2024 - 21:09

score 76 · Answer 14 · 2024-01-22 12:23:03

76

Views

Topology with given dense sets

Published on 22 Jan 2024 - 12:23

score 65 · Answer 15 · 2024-01-23 18:58:15

65

Views

Topology with given infinite dense sets

Published on 23 Jan 2024 - 18:58

List Question

Superfluous proof in textbook? (For intersection of sequence of dense, open subsets of complete metric space is dense)

Is it true that the intersection of two dense subspace of a linear normed space is also dense provided that one of them is of finite codimension?

A dense set of real numbers with predetermined Lebesgue measure

Density of matrix functions with non-zero determinant

Finitely generated dense subgroup of an unitary group

Nearly covering the complement of a nowhere dense set

Showing a certain dense subset of $\mathcal{C}^1([0,1]^2,\mathbb{R}^4)$ is residual.

Showing a Certain Set of Maps is dense

Extension of closed operator densely defined

Finite index dense normal subgroups of completely metrizable groups

Lebesgue measure of complement of Q-invariant set

Prove that simple functions are not dense in weak $L^{p,\infty}$

intersection of sets not dense implies interior of closure of intersection is not dense

Topology with given dense sets

Topology with given infinite dense sets

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