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Results tagged with order-theory
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user 15570
1
vote
Is there a natural measurable structure on the $\sigma$-algebra of a measurable space?
$\newcommand\sdiff{\mathbin\triangle}$Starting from literally just the measurable space $(X,\Sigma)$, I wouldn't think there's any particularly nice and natural $\sigma$-algebra on $\Sigma$; but with …
- 708
1
vote
1
answer
105
views
"Interval" terminology for (partially) ordered sets
Let $(X,\preceq)$ be a poset.
Is there a standard, generally recognised term for a set $A \subset X$ satisfying
$$ \forall x,y,z \in X, \ (x \in A \ \textrm{ and } \ z \in A \ \textrm{ an …
- 708
1
vote
2
answers
246
views
Is there a name for a partial order in which there is a countable chain which "dominates" th...
Is there a name for a partial order $\preceq$ on a set $X$ with the following property: "there exists a countable set $S \subset X$ such that for all $x \in X$ there exists $y \in S$ with $x \preceq y …
- 708