Question

Show $T$ is a homeomorphism from $E$ onto $T(E)$

score 201 · Answer 1 · 2026-04-13 07:32:55

201

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Show $T$ is a homeomorphism from $E$ onto $T(E)$

Published on 13 Apr 2026 - 7:32

score 107 · Answer 2 · 2026-05-06 03:36:32

107

Views

Adjunction spaces and product of spaces in Top

Published on 06 May 2026 - 3:36

score 41 · Answer 3 · 2026-04-11 05:28:51

41

Views

Is This Another Definition of A Homeomorphism?

Published on 11 Apr 2026 - 5:28

score 58 · Answer 4 · 2026-04-17 12:24:09

58

Views

Find all metric space or topological space with this property for all $A,B \subset X$ we have $\overline{A \cap B} =\overline{A} \cap \overline{B}$.

Published on 17 Apr 2026 - 12:24

score 387 · Answer 5 · 2026-04-12 01:36:49

387

Views

union of closed balls centered around points of a compact set

Published on 12 Apr 2026 - 1:36

score 93 · Answer 6 · 2026-04-15 15:48:22

93

Views

Show the following is not a homeomorphism

Published on 15 Apr 2026 - 15:48

score 211 · Answer 7 · 2026-04-11 01:18:50

211

Views

'Adherence' of continuous functions, well-defined and continuous function

Published on 11 Apr 2026 - 1:18

score 102 · Answer 8 · 2026-04-16 07:33:16

102

Views

The torus cannot cover $\Bbb S^2$

Published on 16 Apr 2026 - 7:33

score 197 · Answer 9 · 2026-04-13 09:45:30

197

Views

Find the closure of a set in different topologies

Published on 13 Apr 2026 - 9:45

score 2.7k · Answer 10 · 2026-05-13 19:09:14

2.7k

Views

Is there a non-trivial covering of the Klein bottle by the Klein bottle?

Published on 13 May 2026 - 19:09

score 101 · Answer 11 · 2026-05-11 04:42:24

101

Views

Must a curve $\eta \colon [a, b] \to \mathbb{R}^2$ intersect the curves $\eta + \frac{\eta(b) - \eta(a)}{n}$ ($n \geqslant 1$)?

Published on 11 May 2026 - 4:42

score 325 · Answer 12 · 2026-04-14 17:05:48

325

Views

Find an n-fold covering with trivial automorphism group

Published on 14 Apr 2026 - 17:05

score 959 · Answer 13 · 2026-05-11 05:26:53

959

Views

Why does every component have to appear in a decomposition of a Noetherian space into irreducible components?

Published on 11 May 2026 - 5:26

score 1.4k · Answer 14 · 2026-04-16 05:33:41

1.4k

Views

Prove that a closed rectangle in $\mathbb{R^n}$ is a closed set.

Published on 16 Apr 2026 - 5:33

score 943 · Answer 15 · 2026-05-11 01:48:33

943

Views

Diffeomorphism and homeomorphism between open ball and polydisc in $\mathbb{R}^n$

Published on 11 May 2026 - 1:48

List Question

Show $T$ is a homeomorphism from $E$ onto $T(E)$

Adjunction spaces and product of spaces in Top

Is This Another Definition of A Homeomorphism?

Find all metric space or topological space with this property for all $A,B \subset X$ we have $\overline{A \cap B} =\overline{A} \cap \overline{B}$.

union of closed balls centered around points of a compact set

Show the following is not a homeomorphism

'Adherence' of continuous functions, well-defined and continuous function

The torus cannot cover $\Bbb S^2$

Find the closure of a set in different topologies

Is there a non-trivial covering of the Klein bottle by the Klein bottle?

Must a curve $\eta \colon [a, b] \to \mathbb{R}^2$ intersect the curves $\eta + \frac{\eta(b) - \eta(a)}{n}$ ($n \geqslant 1$)?

Find an n-fold covering with trivial automorphism group

Why does every component have to appear in a decomposition of a Noetherian space into irreducible components?

Prove that a closed rectangle in $\mathbb{R^n}$ is a closed set.

Diffeomorphism and homeomorphism between open ball and polydisc in $\mathbb{R}^n$

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