- #1

- 162

- 16

**i**z) , (x,

**i**y,

**i**z) and (

**i**x,

**i**y,

**i**z), with i being the imaginary unit. Now, let's say we have a donut in each of these spaces. Geometrically, the donuts are different objects, have different equations and different properties (I think) but would they be considered the same object in topology?

I want to say no because topology deals with connectedness and if the dimension is different, then that should mean that objects in different spaces would be connected differently. However, I'm not sure. Could someone weigh in perhaps?