Question

How to prove that every countable compact Hausdorff space is homeomorphic to a well-ordered set with its order topology?

score 61 · Answer 1 · 2026-02-23 10:20:30

61

Views

How to prove that every countable compact Hausdorff space is homeomorphic to a well-ordered set with its order topology?

Published on 23 Feb 2026 - 10:20

score 166 · Answer 2 · 2026-02-23 10:22:32

166

Views

Cardinality of order topology?

Published on 23 Feb 2026 - 10:22

score 416 · Answer 3 · 2026-02-23 10:16:20

416

Views

Question regarding subspace and order topology

Published on 23 Feb 2026 - 10:16

score 738 · Answer 4 · 2026-02-23 10:16:47

738

Views

Topological proof that the interval $[a,b)\subset \mathbb{R}$ is not closed

Published on 23 Feb 2026 - 10:16

score 155 · Answer 5 · 2026-02-23 10:17:35

155

Views

order topology and subspace topology

Published on 23 Feb 2026 - 10:17

score 93 · Answer 6 · 2026-02-23 10:18:42

93

Views

Order topology and subspace topology in $\mathbb R$

Published on 23 Feb 2026 - 10:18

score 259 · Answer 7 · 2026-02-23 10:23:41

259

Views

Order topology on a poset

Published on 23 Feb 2026 - 10:23

score 1k · Answer 8 · 2026-02-23 10:20:08

1k

Views

Proof that the Order topology on $\mathbb{R}$ has the same basis as the Euclidean topology

Published on 23 Feb 2026 - 10:20

score 1.9k · Answer 9 · 2026-02-23 10:18:45

1.9k

Views

Why is [a, b] not in basis for order topology?

Published on 23 Feb 2026 - 10:18

score 146 · Answer 10 · 2026-02-23 10:20:31

146

Views

Why is a convex subspace the requirement for equivalence beween subspace and order topologies?

Published on 23 Feb 2026 - 10:20

score 258 · Answer 11 · 2026-02-23 10:15:38

258

Views

Total ordering on $\mathcal P(\Bbb R)$

Published on 23 Feb 2026 - 10:15

score 48 · Answer 12 · 2026-02-23 10:16:46

48

Views

Why does there exist a such maximal chain in order topology?

Published on 23 Feb 2026 - 10:16

score 442 · Answer 13 · 2026-02-23 10:13:40

442

Views

Why is this intersection a singleton?

Published on 23 Feb 2026 - 10:13

score 66 · Answer 14 · 2026-02-23 10:15:00

66

Views

How come this is surjective?

Published on 23 Feb 2026 - 10:15

score 1.2k · Answer 15 · 2026-02-23 10:16:18

1.2k

Views

Open set in order topology

Published on 23 Feb 2026 - 10:16

List Question

How to prove that every countable compact Hausdorff space is homeomorphic to a well-ordered set with its order topology?

Cardinality of order topology?

Question regarding subspace and order topology

Topological proof that the interval $[a,b)\subset \mathbb{R}$ is not closed

order topology and subspace topology

Order topology and subspace topology in $\mathbb R$

Order topology on a poset

Proof that the Order topology on $\mathbb{R}$ has the same basis as the Euclidean topology

Why is [a, b] not in basis for order topology?

Why is a convex subspace the requirement for equivalence beween subspace and order topologies?

Total ordering on $\mathcal P(\Bbb R)$

Why does there exist a such maximal chain in order topology?

Why is this intersection a singleton?

How come this is surjective?

Open set in order topology

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