Re: Complement of zero dimensional space



On 28 June, 18:01, "Dim BandTech.con" <tttppp...@xxxxxxxxx> wrote:

A topological space has topological dimension n if and only if it can
be written as the union of n+1 sets of dimension zero and cannot be
written as the union of n sets of dimension zero.
This is ridiculous. Which are the  3 sets (of dimension 0) whose union
is R^2 ? Why dont you use *boundaries* ? (seehttp://en.wikipedia.org/wiki/Inductive_dimension)

Polysign numbers do answer this question directly, though the term
'union' is not quite the proper construction.

Can you define the three sets of dimension zero needed to
cover the complex plane (your P_3) using your polysigns?

Or are you just lying again?
.


Quantcast