Question

For some sets $S\subseteq T\subseteq U$, when is $\inf_T S=\inf_U S$?

score 87 · Answer 1 · 2010-09-11 07:18:28

87

Views

For some sets $S\subseteq T\subseteq U$, when is $\inf_T S=\inf_U S$?

Published on 11 Sep 2010 - 7:18

score 207 · Answer 2 · 2026-04-11 03:08:30

207

Views

Showing the Inclusion is sup-continuous

Published on 11 Apr 2026 - 3:08

score 343 · Answer 3 · 2010-09-13 20:34:38

343

Views

Set Equality between Lower Bounds and and an Intersection of a Subset and Interval

Published on 13 Sep 2010 - 20:34

score 654 · Answer 4 · 2010-10-05 19:16:53

654

Views

Separative Quotients, and the Induced Order

Published on 05 Oct 2010 - 19:16

score 37.4k · Answer 5 · 2026-03-27 10:46:25

37.4k

Views

Is there a known well ordering of the reals?

Published on 27 Mar 2026 - 10:46

score 514 · Answer 6 · 2026-04-10 16:24:54

514

Views

Showing that well-ordered subsets of $P(\omega)$ are countable

Published on 10 Apr 2026 - 16:24

score 168 · Answer 7 · 2010-11-09 06:23:34

168

Views

Does order isomorphism of linear extensions of two partially ordered sets imply order isomorphism of themselves?

Published on 09 Nov 2010 - 6:23

score 310 · Answer 8 · 2010-11-21 06:11:57

310

Views

In a Lattice, x ∧ y ≤ x and x ∧ y ≤ y

Published on 21 Nov 2010 - 6:11

score 262 · Answer 9 · 2026-04-12 01:44:08

262

Views

In a lattice, $x \leq y$ and $x \leq z \iff x \leq y ∧ z$

Published on 12 Apr 2026 - 1:44

score 86 · Answer 10 · 2026-04-10 01:15:22

86

Views

In a lattice, ( x ∧ z ) ∧ ( y ∧ z ) = z ∧ ( y ∧ x )

Published on 10 Apr 2026 - 1:15

score 3k · Answer 11 · 2010-11-26 20:57:09

3k

Views

order and binary relation

Published on 26 Nov 2010 - 20:57

score 514 · Answer 12 · 2026-03-26 19:37:21

514

Views

Does the fact that every interval in $\mathbb{R}$ is connected implies that $\mathbb{R}$ is order-complete?

Published on 26 Mar 2026 - 19:37

score 1.2k · Answer 13 · 2026-04-11 19:21:46

1.2k

Views

questions about well-order

Published on 11 Apr 2026 - 19:21

score 1.4k · Answer 14 · 2026-03-27 17:59:51

1.4k

Views

Is the Knaster-Tarski Fixed Point Theorem constructive?

Published on 27 Mar 2026 - 17:59

score 6.9k · Answer 15 · 2026-04-02 04:31:48

6.9k

Views

limsup and liminf of a sequence of subsets of a set

Published on 02 Apr 2026 - 4:31

List Question

For some sets $S\subseteq T\subseteq U$, when is $\inf_T S=\inf_U S$?

Showing the Inclusion is sup-continuous

Set Equality between Lower Bounds and and an Intersection of a Subset and Interval

Separative Quotients, and the Induced Order

Is there a known well ordering of the reals?

Showing that well-ordered subsets of $P(\omega)$ are countable

Does order isomorphism of linear extensions of two partially ordered sets imply order isomorphism of themselves?

In a Lattice, x ∧ y ≤ x and x ∧ y ≤ y

In a lattice, $x \leq y$ and $x \leq z \iff x \leq y ∧ z$

In a lattice, ( x ∧ z ) ∧ ( y ∧ z ) = z ∧ ( y ∧ x )

order and binary relation

Does the fact that every interval in $\mathbb{R}$ is connected implies that $\mathbb{R}$ is order-complete?

questions about well-order

Is the Knaster-Tarski Fixed Point Theorem constructive?

limsup and liminf of a sequence of subsets of a set

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