"Homodimensionality" is a supertypical Greek-Latin etymological monstrosity!

The Latinate form closest etym-for-etym to same-dimensionality would be
the (feminine) eadem + dimensio(n) + ality,
eadendimensionality
but much more usual would be:
equidimensionality.

Best, Ben

On 9/6/2019 6:14 PM, Jon Alan Schmidt wrote:
A discrete point indeed cannot be a /part/ of a continuous line, surface, or space; but in addition, a continuous one-dimensional line cannot be a /part/ of a continuous two-dimensional surface or three-dimensional space, and a continuous two-dimensional surface cannot be a /part/ of a continuous three-dimensional space.  Should we perhaps introduce the term "homodimensionality" for this aspect?

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