In topology, the Tychonoff plank is a topological space defined using ordinal spaces that is a counterexample to several plausible-sounding conjectures. It is defined as the topological product of the two ordinal spaces
[
0
,
ω
]
{\displaystyle [0,\omega ]}
and
[
0
,
ω
1
]
{\displaystyle [0,\omega _{1}]}
, where
ω
{\displaystyle \omega }
is the first infinite...