Question

Union of connected subspaces $A$ and $B$ of $X$ such that $A\cap \overline{B} \ne \varnothing$ is connected

score 2.9k · Answer 1 · 2017-02-02 15:35:28

2.9k

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Union of connected subspaces $A$ and $B$ of $X$ such that $A\cap \overline{B} \ne \varnothing$ is connected

Published on 02 Feb 2017 - 15:35

score 549 · Answer 2 · 2017-02-02 19:00:39

549

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Is there an elegant proof of the Stone-Weierstrass theorem?

Published on 02 Feb 2017 - 19:00

score 38 · Answer 3 · 2017-02-03 19:01:37

38

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Let $x_0,\ldots,x_k\in\Bbb K^n$ be non-zero. Show that $A:=\left\{x\in \Bbb K^n:\prod_{j=0}^k(x\mid x_j)\neq0\right\}$ is open and dense in $\Bbb K^n$

Published on 03 Feb 2017 - 19:01

score 645 · Answer 4 · 2017-02-03 20:50:07

645

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Prove $(A\times C)\setminus (B\times D)=(A\times (C\setminus D))\cup((A\setminus B)\times C)$

Published on 03 Feb 2017 - 20:50

score 761 · Answer 5 · 2017-02-04 15:14:52

761

Views

Proving that every sequence has either an increasing or decreasing subsequence without Bolzano Weierstrass Theorem

Published on 04 Feb 2017 - 15:14

score 319 · Answer 6 · 2017-02-04 16:34:24

319

Views

Clarification on applying Feynman's Integration Trick to Partial Derivatives?

Published on 04 Feb 2017 - 16:34

score 78 · Answer 7 · 2026-03-31 23:28:17

78

Views

Asymptotic behaviour of $\binom{n+\alpha-1}{n}$

Published on 31 Mar 2026 - 23:28

score 317 · Answer 8 · 2026-03-29 21:54:00

317

Views

Analysis of a proof that the decimal expression for any rational is periodic.

Published on 29 Mar 2026 - 21:54

score 1.3k · Answer 9 · 2017-02-05 14:48:37

1.3k

Views

A locally compact Hausdorff space admits a local base consisting of compact sets.

Published on 05 Feb 2017 - 14:48

score 342 · Answer 10 · 2017-02-05 20:01:53

342

Views

Alternative proof of $\sqrt{2}$ is irrational assistance.

Published on 05 Feb 2017 - 20:01

score 261 · Answer 11 · 2026-03-26 01:10:24

261

Views

Alternative Proof to irrationality of $\sqrt{2}$ using linear algebra

Published on 26 Mar 2026 - 1:10

score 410 · Answer 12 · 2026-03-26 01:09:27

410

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Prove $\sqrt[m]{D}$ irrationality simply, without unique prime factorization

Published on 26 Mar 2026 - 1:09

score 79 · Answer 13 · 2017-02-10 00:14:50

79

Views

Is this short proof of Taylor's theorem correct?

Published on 10 Feb 2017 - 0:14

score 162 · Answer 14 · 2017-02-11 14:38:44

162

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Convergence of a sequence

Published on 11 Feb 2017 - 14:38

score 42 · Answer 15 · 2017-02-12 21:33:41

42

Views

What is wrong with this homotopy? [Basic question]

Published on 12 Feb 2017 - 21:33

List Question

Union of connected subspaces $A$ and $B$ of $X$ such that $A\cap \overline{B} \ne \varnothing$ is connected

Is there an elegant proof of the Stone-Weierstrass theorem?

Let $x_0,\ldots,x_k\in\Bbb K^n$ be non-zero. Show that $A:=\left\{x\in \Bbb K^n:\prod_{j=0}^k(x\mid x_j)\neq0\right\}$ is open and dense in $\Bbb K^n$

Prove $(A\times C)\setminus (B\times D)=(A\times (C\setminus D))\cup((A\setminus B)\times C)$

Proving that every sequence has either an increasing or decreasing subsequence without Bolzano Weierstrass Theorem

Clarification on applying Feynman's Integration Trick to Partial Derivatives?

Asymptotic behaviour of $\binom{n+\alpha-1}{n}$

Analysis of a proof that the decimal expression for any rational is periodic.

A locally compact Hausdorff space admits a local base consisting of compact sets.

Alternative proof of $\sqrt{2}$ is irrational assistance.

Alternative Proof to irrationality of $\sqrt{2}$ using linear algebra

Prove $\sqrt[m]{D}$ irrationality simply, without unique prime factorization

Is this short proof of Taylor's theorem correct?

Convergence of a sequence

What is wrong with this homotopy? [Basic question]

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