I'd like to know if a finite dimensional, locally finite, $CW$ complex with countable cells can always be embedded to a Euclidean space. All I know is that it holds in the case $\dim=1$.
2026-03-27 07:20:04.1774596004
On embedding a sort of $CW$ complexes to a Euclidean space.
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I think page noumber 181 of this link: http://math.uchicago.edu/~shmuel/tom-readings/ranicki-intro will be useful for your purpose.