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Results tagged with order-theory
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user 479330
7
votes
1
answer
545
views
Progress on determining which partial orders embed into the rationals
The following result is relatively well-known: (for example in Math StackExchange answer #37161)
For every countable linear order $(R,\prec)$, there is an $X\subseteq\mathbb Q$ such that $(R,\prec)$ …
- 2,031
1
vote
Accepted
End elementary extension in infinitary logic of some $L_\alpha$ producing a $L_\beta$
(Turning some comments into an answer)
The definition of $L(x,\alpha+1)$ was wrong, instead it should have been $$L(x,\alpha+1)\leftrightarrow\bigvee_{n\in\omega}\bigvee_{\varphi}\exists p_1,\ldots,p_ …