Are $\left\{ (x,y) \in \mathbb{R^2} | |y| > x^2 , |y| < 10 \right\} $ & $\left\{ (x,y) \in \mathbb{R^2}| |y| > x^4 , |y| < 10 \right\} $ homeomorphic?

score 115 · Answer 11 · 2026-04-25 02:23:32

115

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Basic properties and intuition behind an independent family of subsets of a set.

Published on 25 Apr 2026 - 2:23

score 475 · Answer 12 · 2026-04-14 05:12:57

475

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Example of a Baire metric space which is not completely metrizable

Published on 14 Apr 2026 - 5:12

score 32 · Answer 13 · 2026-04-14 19:34:02

Is $ B = \left\{ \frac{n+1}{n} \,\middle|\, n \in \mathbb{N} \right\} $ as a subspace of $ ( 0 , + \infty)$ a closed set?

score 92 · Answer 14 · 2026-04-15 12:25:45

92

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Is $ A = \left\{ \frac{1}{n} \mid n \in \mathbb{N} \right\} $ as a subspace of $(0, +\infty)$ closed?

Published on 15 Apr 2026 - 12:25

score 493 · Answer 15 · 2026-04-10 11:00:05

493

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Proof for sphere eversion

Published on 10 Apr 2026 - 11:00

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Are $\left\{ (x,y) \in \mathbb{R^2} | |y| > x^2 , |y| < 10 \right\} $ & $\left\{ (x,y) \in \mathbb{R^2}| |y| > x^4 , |y| < 10 \right\} $ homeomorphic?

Basic properties and intuition behind an independent family of subsets of a set.

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Is $ B = \left\{ \frac{n+1}{n} \,\middle|\, n \in \mathbb{N} \right\} $ as a subspace of $ ( 0 , + \infty)$ a closed set?

Is $ A = \left\{ \frac{1}{n} \mid n \in \mathbb{N} \right\} $ as a subspace of $(0, +\infty)$ closed?

Proof for sphere eversion

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