Question

Infinite subset of a plane curve is dense.

score 438 · Answer 1 · 2018-01-12 00:49:23

438

Views

Infinite subset of a plane curve is dense.

Published on 12 Jan 2018 - 0:49

score 3.8k · Answer 2 · 2010-11-07 21:27:43

3.8k

Views

Are there Zariski-continuous maps between algebraic sets that are not polynomial maps?

Published on 07 Nov 2010 - 21:27

score 533 · Answer 3 · 2011-09-30 08:43:41

533

Views

A closed subset of an algebraic group which contains $e$ and is closed under taking products is a subgroup of $G$

Published on 30 Sep 2011 - 8:43

score 1.6k · Answer 4 · 2012-04-02 01:08:02

1.6k

Views

Principal $G$-bundles in Zariski vs étale topology

Published on 02 Apr 2012 - 1:08

score 14.2k · Answer 5 · 2012-06-22 22:49:01

14.2k

Views

Why Zariski topology?

Published on 22 Jun 2012 - 22:49

score 385 · Answer 6 · 2020-08-12 09:24:22

385

Views

Zariski topology - normal for finite $\Bbb{F}$, not hausdorff for $\Bbb{F}=\Bbb{R}$

Published on 12 Aug 2020 - 9:24

score 193 · Answer 7 · 2020-08-26 15:26:38

193

Views

Preimage of irreducible subvariety under bijective open mapping.

Published on 26 Aug 2020 - 15:26

score 866 · Answer 8 · 2020-08-28 18:57:07

866

Views

Definition of algebra of polynomial functions on a vector space.

Published on 28 Aug 2020 - 18:57

score 246 · Answer 9 · 2020-08-30 08:43:09

246

Views

affin line $\mathbb A_{R}^{1}$ is not homeomorphic to real line $\mathbb{R}$

Published on 30 Aug 2020 - 8:43

score 35 · Answer 10 · 2020-10-06 03:38:46

35

Views

$Z(P_1P_2)=Z(P_1)\cup Z(P_2)$ where $Z(P)$ is a vanishing set of $P\subset k[x_1,\dots,x_n]$.

Published on 06 Oct 2020 - 3:38

score 83 · Answer 11 · 2020-10-06 15:55:25

83

Views

An example of $I(X_1\cap X_2)\neq I(X_1)+I(X_2)$ where $X_i$ is an algebraic set.

Published on 06 Oct 2020 - 15:55

score 250 · Answer 12 · 2026-03-25 22:10:11

250

Views

Zariski topology is not first countable on $\mathbb{R}$

Published on 25 Mar 2026 - 22:10

score 416 · Answer 13 · 2020-10-10 16:06:11

416

Views

$\mathbb{R}^n$ with the Zariski topology is not $T_2$

Published on 10 Oct 2020 - 16:06

score 200 · Answer 14 · 2020-10-14 03:18:49

200

Views

Clarification question about the definition of irreducible topological space.

Published on 14 Oct 2020 - 3:18

score 131 · Answer 15 · 2020-10-14 23:21:12

131

Views

Showing that the map $t\mapsto(t,t^2,t^3)$ is continuous in Zariski Topology. Twisted Cubic.

Published on 14 Oct 2020 - 23:21

List Question

Infinite subset of a plane curve is dense.

Are there Zariski-continuous maps between algebraic sets that are not polynomial maps?

A closed subset of an algebraic group which contains $e$ and is closed under taking products is a subgroup of $G$

Principal $G$-bundles in Zariski vs étale topology

Why Zariski topology?

Zariski topology - normal for finite $\Bbb{F}$, not hausdorff for $\Bbb{F}=\Bbb{R}$

Preimage of irreducible subvariety under bijective open mapping.

Definition of algebra of polynomial functions on a vector space.

affin line $\mathbb A_{R}^{1}$ is not homeomorphic to real line $\mathbb{R}$

$Z(P_1P_2)=Z(P_1)\cup Z(P_2)$ where $Z(P)$ is a vanishing set of $P\subset k[x_1,\dots,x_n]$.

An example of $I(X_1\cap X_2)\neq I(X_1)+I(X_2)$ where $X_i$ is an algebraic set.

Zariski topology is not first countable on $\mathbb{R}$

$\mathbb{R}^n$ with the Zariski topology is not $T_2$

Clarification question about the definition of irreducible topological space.

Showing that the map $t\mapsto(t,t^2,t^3)$ is continuous in Zariski Topology. Twisted Cubic.

Trending Questions

Popular # Hahtags

Popular Questions