If $X$ is totally ordered, has the least upper bound property, and has a countable dense subset, then is $X$ isomorphic to an interval of $\mathbb R$?

score 82 · Answer 13 · 2026-03-26 14:20:28

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A monoid $M$ is $\omega$-presentable in the category $M$-$\mathbf{Set}$

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score 33 · Answer 14 · 2023-05-01 07:13:33

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Counting the number of maximal chains in a Hasse Diagram

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score 26 · Answer 15 · 2023-05-03 09:06:31

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Does a bijection between the atoms of two atomistic posets induce a bijection between the corresponding ground sets?

Published on 03 May 2023 - 9:06

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If $X$ is totally ordered, has the least upper bound property, and has a countable dense subset, then is $X$ isomorphic to an interval of $\mathbb R$?

A monoid $M$ is $\omega$-presentable in the category $M$-$\mathbf{Set}$

Counting the number of maximal chains in a Hasse Diagram

Does a bijection between the atoms of two atomistic posets induce a bijection between the corresponding ground sets?

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