Question

Properties of $f: X\rightarrow [0,a]^{\omega}$

score 19 · Answer 1 · 2019-03-03 07:02:34

19

Views

Properties of $f: X\rightarrow [0,a]^{\omega}$

Published on 03 Mar 2019 - 7:02

score 67 · Answer 2 · 2019-03-03 08:53:27

67

Views

Is $d$ a metric on $X$?

Published on 03 Mar 2019 - 8:53

score 749 · Answer 3 · 2019-03-03 10:35:26

749

Views

Same limit iff $d(x_n,y_n) = 0 $

Published on 03 Mar 2019 - 10:35

score 37 · Answer 4 · 2019-03-03 12:35:00

37

Views

ℝ is embedded into $ℝ^d$ via any $ι:ℝ→ℝ^d$ with $ι(x)_1=x$ and ι is related to the projection $ℝ^d$ onto the first coordinate. Does this generalize?

Published on 03 Mar 2019 - 12:35

score 109 · Answer 5 · 2019-03-03 13:38:03

109

Views

$M$ is complete iff by showing given sequence is cauchy .

Published on 03 Mar 2019 - 13:38

score 1.1k · Answer 6 · 2026-03-31 03:34:51

1.1k

Views

Is this proof that a continuous image of a compact metric space is compact correct?

Published on 31 Mar 2026 - 3:34

score 90 · Answer 7 · 2019-03-03 20:34:20

90

Views

Details about the set of all Riemann-Stieltjes Integrable functions

Published on 03 Mar 2019 - 20:34

score 47 · Answer 8 · 2019-03-03 23:26:26

47

Views

How is finiteness established in the following proof for determining the limit points of a set?

Published on 03 Mar 2019 - 23:26

score 76 · Answer 9 · 2026-03-25 20:25:06

76

Views

Help with properly discontinuous action implication in Milnor-Schwarz lemma.

Published on 25 Mar 2026 - 20:25

score 387 · Answer 10 · 2026-03-29 02:01:45

387

Views

Counterexamples to equivalences between $L^n$-convergence types on periodic function spaces.

Published on 29 Mar 2026 - 2:01

score 37 · Answer 11 · 2019-03-04 12:02:17

37

Views

Existence of a ball containing only one of the closest points

Published on 04 Mar 2019 - 12:02

score 372 · Answer 12 · 2019-03-04 16:16:40

372

Views

Determine whether the following subsets of $\mathbb{R}^2$ are open with respect to the metric $d$.

Published on 04 Mar 2019 - 16:16

score 214 · Answer 13 · 2026-03-26 19:39:40

214

Views

Let $f$ be a function from a metric space to a metric space. Prove that $f$ is continuous i.f.f it sends convergent sequences into convergent seq.

Published on 26 Mar 2026 - 19:39

score 334 · Answer 14 · 2026-03-25 22:03:23

334

Views

Is there an explicit function from the quotient space of an annulus to a torus?

Published on 25 Mar 2026 - 22:03

score 75 · Answer 15 · 2019-03-05 10:51:36

75

Views

Verification of completeness of $d_1 (x,y) = |\log x -\log y|$

Published on 05 Mar 2019 - 10:51

List Question

Properties of $f: X\rightarrow [0,a]^{\omega}$

Is $d$ a metric on $X$?

Same limit iff $d(x_n,y_n) = 0 $

ℝ is embedded into $ℝ^d$ via any $ι:ℝ→ℝ^d$ with $ι(x)_1=x$ and ι is related to the projection $ℝ^d$ onto the first coordinate. Does this generalize?

$M$ is complete iff by showing given sequence is cauchy .

Is this proof that a continuous image of a compact metric space is compact correct?

Details about the set of all Riemann-Stieltjes Integrable functions

How is finiteness established in the following proof for determining the limit points of a set?

Help with properly discontinuous action implication in Milnor-Schwarz lemma.

Counterexamples to equivalences between $L^n$-convergence types on periodic function spaces.

Existence of a ball containing only one of the closest points

Determine whether the following subsets of $\mathbb{R}^2$ are open with respect to the metric $d$.

Let $f$ be a function from a metric space to a metric space. Prove that $f$ is continuous i.f.f it sends convergent sequences into convergent seq.

Is there an explicit function from the quotient space of an annulus to a torus?

Verification of completeness of $d_1 (x,y) = |\log x -\log y|$

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