Question

a condition equivalent to compactness in linearly ordered spaces

score 195 · Answer 1 · 2013-09-10 18:14:10

195

Views

a condition equivalent to compactness in linearly ordered spaces

Published on 10 Sep 2013 - 18:14

score 247 · Answer 2 · 2013-09-15 00:49:20

247

Views

Ordered set in order topology

Published on 15 Sep 2013 - 0:49

score 674 · Answer 3 · 2013-10-05 20:10:06

674

Views

Order Topology on $\mathbb{Z_+}$

Published on 05 Oct 2013 - 20:10

score 712 · Answer 4 · 2013-11-15 11:05:18

712

Views

Prove that if $\{K_n\}_{n\in\mathbb{N}}$ is a sequence of uncountable compact sets of $X$, then $\bigcap\limits_{n\in\mathbb{N}}K_n$ is uncountable

Published on 15 Nov 2013 - 11:05

score 1.6k · Answer 5 · 2014-03-03 18:23:29

1.6k

Views

Topology - closures of intervals with the order topology

Published on 03 Mar 2014 - 18:23

score 196 · Answer 6 · 2017-04-11 19:25:52

196

Views

Linearly ordered X is regular

Published on 11 Apr 2017 - 19:25

score 412 · Answer 7 · 2017-04-18 14:55:02

412

Views

A totally ordered ring with its order topology is not a topological ring.

Published on 18 Apr 2017 - 14:55

score 667 · Answer 8 · 2017-05-12 10:31:39

667

Views

Existence of continuous order-preserving function

Published on 12 May 2017 - 10:31

score 324 · Answer 9 · 2017-07-12 15:06:25

324

Views

Show the $\omega_1$-line (long line) is not homeomorphic and not order isomorphic to $[0,1)$

Published on 12 Jul 2017 - 15:06

score 229 · Answer 10 · 2017-07-17 17:11:21

229

Views

linear ordered topological spaces are $T_4$- guided proof.

Published on 17 Jul 2017 - 17:11

score 1k · Answer 11 · 2017-09-03 12:58:02

1k

Views

$X$ and $Y$ are ordered set, $f:X\rightarrow Y$ is order preserving and surjective, then $f$ is a homeomorphism.

Published on 03 Sep 2017 - 12:58

score 601 · Answer 12 · 2017-10-06 10:28:53

601

Views

The closure of $(a;b)$ in an order topology

Published on 06 Oct 2017 - 10:28

score 703 · Answer 13 · 2017-10-19 10:19:44

703

Views

Show that R^2 with the dictionary order topology is homeomorphic to Rd * R.

Published on 19 Oct 2017 - 10:19

score 701 · Answer 14 · 2017-11-01 04:59:48

701

Views

questions about subspace topology, order topology and convex subset

Published on 01 Nov 2017 - 4:59

score 88 · Answer 15 · 2017-11-20 08:06:40

88

Views

Is the interval $((a,b), (a,d))$ is open in $\mathbb{R}\times \mathbb{R}$ which is equipped with the dictionary order topology

Published on 20 Nov 2017 - 8:06

List Question

a condition equivalent to compactness in linearly ordered spaces

Ordered set in order topology

Order Topology on $\mathbb{Z_+}$

Prove that if $\{K_n\}_{n\in\mathbb{N}}$ is a sequence of uncountable compact sets of $X$, then $\bigcap\limits_{n\in\mathbb{N}}K_n$ is uncountable

Topology - closures of intervals with the order topology

Linearly ordered X is regular

A totally ordered ring with its order topology is not a topological ring.

Existence of continuous order-preserving function

Show the $\omega_1$-line (long line) is not homeomorphic and not order isomorphic to $[0,1)$

linear ordered topological spaces are $T_4$- guided proof.

$X$ and $Y$ are ordered set, $f:X\rightarrow Y$ is order preserving and surjective, then $f$ is a homeomorphism.

The closure of $(a;b)$ in an order topology

Show that R^2 with the dictionary order topology is homeomorphic to Rd * R.

questions about subspace topology, order topology and convex subset

Is the interval $((a,b), (a,d))$ is open in $\mathbb{R}\times \mathbb{R}$ which is equipped with the dictionary order topology

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