Does topology distinguish between real and imaginary dimensions?

I
Thread starter Feynstein100
Start date Dec 14, 2022
Tags

Dimensions Imaginary Topology

In summary, the conversation discusses the concept of topology and its relationship to objects in different 3D spaces, specifically donut-shaped objects. The question is whether these donuts, despite having different equations and properties, would be considered the same object in topology due to the connectedness of their dimensions. However, there is confusion over the use of "imaginary dimensions" and whether they exist. The conclusion is that topology only considers the number of dimensions and any objects that can be transformed into each other through a continuous function are considered identical.

Dec 23, 2022

martinbn

Science Advisor

Feynstein100 said:

Not that I'm saying I'm better than everyone else. It's just that I feel like I'm trying to describe the difference between colors to someone who's colorblind. It makes me wish I was colorblind too.

Your original question was about topology. I asked, and you didn't answer, if you know what topology was. Have you studied topology and do you know what it means for a set to be given a topology? If the answer is "no", then you are the one who has not seen some colors yet. The good news is that it is not like colorblindness and it can be overcome by studying. The bad news is that you have to put in the effort.