In an infinite linearly ordered set every initial section is finite. ¿Is it isomorphic to $\langle\mathbb{N}\,,\,\text{<}_{\mathbb{N}}\rangle$?
33008
Linear order where every initial segment is finite
118849
If a cyclic group has an element of infinite order, how many elements of finite order does it have?
86926
Why isn't this a well ordering of $\{A\subseteq\mathbb N\mid A\text{ is infinite}\}$?
155125
Every ordered field has a subfield isomorphic to $\mathbb Q$?
55978
Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
73790
Are two Hilbert spaces with the same algebraic dimension (their Hamel bases have the same cardinality) isomorphic?
77289
Example 2, Sec. 24, in Munkres' TOPOLOGY, 2nd ed: If $X$ is a well ordered set, then $X \times [0, 1)$ is a linear continuum
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
149673
Cardinality of an infinite union of finite sets
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
158282
Finite order of an element $f(g)$ of a homomorphism $f$
109034
Does a finite $[E:K]_s$ imply that $[E_s:K]$ is finite?
30587
Uncountable well ordered set in $Z^-$ theory.
122947
What is the cardinality of the set of infinite cardinalities?
64193
Cardinality of Infinite Symmetric group
84936
The set of all finite sequences of members of a countable set is also countable
6478
Prove that for any infinite poset there is an infinite subset which is either linearly ordered or antichain.