Question

Contiunity and closedness of the map $F$ and $f.$

score 43 · Answer 1 · 2026-03-23 06:15:02

43

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Contiunity and closedness of the map $F$ and $f.$

Published on 23 Mar 2026 - 6:15

score 662 · Answer 2 · 2026-03-23 04:43:33

662

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Proving that $P:\mathbb{C}\rightarrow\mathbb{R}$, defined by $P(z)=Re(z)$ is open but is not closed.

Published on 23 Mar 2026 - 4:43

score 1.2k · Answer 3 · 2026-03-22 11:46:53

1.2k

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Is a bijective morphism between affine varieties an isomorphism?

Published on 22 Mar 2026 - 11:46

score 211 · Answer 4 · 2026-03-22 19:06:30

211

Views

Proving a set is open using pre image and continuity of a function

Published on 22 Mar 2026 - 19:06

score 106 · Answer 5 · 2026-03-23 10:59:02

106

Views

Is this an open/ closed set? (Pre image, continuity question)

Published on 23 Mar 2026 - 10:59

score 186 · Answer 6 · 2026-03-22 17:53:35

186

Views

How to show that linear applications are closed and open

Published on 22 Mar 2026 - 17:53

score 436 · Answer 7 · 2026-03-22 21:19:33

436

Views

Linear image of a closed cone. Is it closed?

Published on 22 Mar 2026 - 21:19

score 86 · Answer 8 · 2026-03-22 18:37:10

86

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Let $S$ be a metric space, $ f: S \to \Bbb R$ continuous. Define $Z(f) = \{p \in S : f(p) = 0 \}$. Prove $Z(f)$ is closed.

Published on 22 Mar 2026 - 18:37

score 1.2k · Answer 9 · 2026-03-23 11:52:33

1.2k

Views

Does "unbounded" necessarily imply "goes to infinity"?

Published on 23 Mar 2026 - 11:52

score 76 · Answer 10 · 2026-03-22 17:49:09

76

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Is $\text{SL}(2,\mathbb{R}) \to \mathbb{R}^2 \setminus \{0\},\; A \mapsto Ae_1$ a closed map?

Published on 22 Mar 2026 - 17:49

score 497 · Answer 11 · 2026-03-22 17:59:32

497

Views

An embedding that is a closed map

Published on 22 Mar 2026 - 17:59

score 416 · Answer 12 · 2026-03-17 04:01:44

416

Views

Example of a proper surjection to Hausdorff space that is not perfect?

Published on 17 Mar 2026 - 4:01

score 69 · Answer 13 · 2026-03-17 00:08:51

69

Views

How to check thet the set is closed but not clopen

Published on 17 Mar 2026 - 0:08

score 1.1k · Answer 14 · 2026-03-17 02:03:33

1.1k

Views

Prob. 8, Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A map into a compact Hausdorff space is continuous iff its graph is closed

Published on 17 Mar 2026 - 2:03

score 51 · Answer 15 · 2026-03-17 00:18:24

51

Views

Closedness of $\varphi\circ\pi$ and $\varphi$ implying $\pi$ to be closed

Published on 17 Mar 2026 - 0:18

List Question

Contiunity and closedness of the map $F$ and $f.$

Proving that $P:\mathbb{C}\rightarrow\mathbb{R}$, defined by $P(z)=Re(z)$ is open but is not closed.

Is a bijective morphism between affine varieties an isomorphism?

Proving a set is open using pre image and continuity of a function

Is this an open/ closed set? (Pre image, continuity question)

How to show that linear applications are closed and open

Linear image of a closed cone. Is it closed?

Let $S$ be a metric space, $ f: S \to \Bbb R$ continuous. Define $Z(f) = \{p \in S : f(p) = 0 \}$. Prove $Z(f)$ is closed.

Does "unbounded" necessarily imply "goes to infinity"?

Is $\text{SL}(2,\mathbb{R}) \to \mathbb{R}^2 \setminus \{0\},\; A \mapsto Ae_1$ a closed map?

An embedding that is a closed map

Example of a proper surjection to Hausdorff space that is not perfect?

How to check thet the set is closed but not clopen

Prob. 8, Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A map into a compact Hausdorff space is continuous iff its graph is closed

Closedness of $\varphi\circ\pi$ and $\varphi$ implying $\pi$ to be closed

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