Question

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

score 60 · Answer 1 · 2015-04-24 10:02:50

60

Views

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

Published on 24 Apr 2015 - 10:02

score 165 · Answer 2 · 2015-05-11 01:21:05

165

Views

Cardinality of order topology?

Published on 11 May 2015 - 1:21

score 415 · Answer 3 · 2015-05-21 13:57:05

415

Views

Question regarding subspace and order topology

Published on 21 May 2015 - 13:57

score 737 · Answer 4 · 2015-05-23 22:48:09

737

Views

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

Published on 23 May 2015 - 22:48

score 154 · Answer 5 · 2015-06-25 16:55:48

154

Views

order topology and subspace topology

Published on 25 Jun 2015 - 16:55

score 92 · Answer 6 · 2015-06-25 18:00:26

92

Views

Order topology and subspace topology in $\mathbb R$

Published on 25 Jun 2015 - 18:00

score 258 · Answer 7 · 2015-07-20 15:47:19

258

Views

Order topology on a poset

Published on 20 Jul 2015 - 15:47

score 1k · Answer 8 · 2015-07-21 20:49:26

1k

Views

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

Published on 21 Jul 2015 - 20:49

score 1.9k · Answer 9 · 2015-08-17 17:31:39

1.9k

Views

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

Published on 17 Aug 2015 - 17:31

score 145 · Answer 10 · 2015-08-26 17:54:31

145

Views

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

Published on 26 Aug 2015 - 17:54

score 257 · Answer 11 · 2015-09-04 01:43:00

257

Views

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

Published on 04 Sep 2015 - 1:43

score 47 · Answer 12 · 2015-10-24 23:35:50

47

Views

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

Published on 24 Oct 2015 - 23:35

score 441 · Answer 13 · 2015-10-25 00:35:07

441

Views

Why is this intersection a singleton?

Published on 25 Oct 2015 - 0:35

score 65 · Answer 14 · 2015-10-25 22:58:25

65

Views

How come this is surjective?

Published on 25 Oct 2015 - 22:58

score 1.2k · Answer 15 · 2015-11-01 03:41:32

1.2k

Views

Open set in order topology

Published on 01 Nov 2015 - 3:41

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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