perhaps you should start with the basics

The shape of space
http://athome.harvard.edu/threemanifolds/watch.html

Start there and we will discuss infinity as a concept of space after.

So you are trying to turn infinity into abstraction and it simply isn't ... it's no more abstract than PI or any irrational or complex number.

I believe in "Evil, Bad, Ungodly fantasy science and maths", so I am undoubtedly wrong to you.