List questions from order-topology

Published on 16 Feb 2018 - 13:45

200

Views

The lub of the usual and co-countable topology on $\mathbb R$

Published on 25 Feb 2018 - 7:51

631

Views

Munkres Example 16.3

Published on 09 Mar 2018 - 22:17

120

Views

Closed subsets of regular cardinals

Published on 10 Jul 2018 - 12:55

643

Views

Right continuous functions when considered with lower limit topology

Published on 15 Aug 2018 - 10:09

157

Views

$\omega_1$ is a limit point of the subset $[0,\omega_1)$

Published on 22 Aug 2018 - 12:04

356

Views

Can the long line be embedded in the ordered plane?

Published on 15 Sep 2018 - 13:21

179

Views

If $f\colon X\to Y$ is continuous and $X$ is compact Hausdorff and connected, $Y$ is given an order topology. Is $f$ necessarily onto?

Published on 04 Oct 2018 - 9:29

82

Views

How is this definition of closedness compatible with the order topology?

Published on 06 Jan 2019 - 12:20

164

Views

Order Topology on a Preorder

Published on 17 Jan 2019 - 14:46

229

Views

Help me to visualise limit points of $S$.

Published on 20 Feb 2019 - 16:16

30

Views

What are the limit points of $X \times \mathbb{N}$?

Published on 21 Mar 2019 - 7:01

207

Views

If Y is a subset of X, is always true that then Y inherits (always) a total order from X?

Published on 11 May 2019 - 15:45

343

Views

Linear continuum of $I\times I $ under subspace topology of $\mathbb{R}^2$ with dictionary topology on it, where $I=[a,b]$.

Published on 21 May 2019 - 7:12

277

Views

Open sets in the order topology

Published on 04 Jun 2019 - 16:31

List Question

Open sets on ordered topology in $\mathbb{R\times R}$

The lub of the usual and co-countable topology on $\mathbb R$

Munkres Example 16.3

Closed subsets of regular cardinals

Right continuous functions when considered with lower limit topology

$\omega_1$ is a limit point of the subset $[0,\omega_1)$

Can the long line be embedded in the ordered plane?

If $f\colon X\to Y$ is continuous and $X$ is compact Hausdorff and connected, $Y$ is given an order topology. Is $f$ necessarily onto?

How is this definition of closedness compatible with the order topology?

Order Topology on a Preorder

Help me to visualise limit points of $S$.

What are the limit points of $X \times \mathbb{N}$?

If Y is a subset of X, is always true that then Y inherits (always) a total order from X?

Linear continuum of $I\times I $ under subspace topology of $\mathbb{R}^2$ with dictionary topology on it, where $I=[a,b]$.

Open sets in the order topology

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