What is the Definition of Dimension in Mathematics?

[Dimitri655]

Hey guys!

After watching another awesome video of minutephysics:


I couldn't help but wonder, what is a dimension?

Thanks for your replies in advance,

 

[Xu Shuang]

I think dimension is most clearly defined mathematically, if a space need at least N numbers in anyone of its coordinate systems, then the space is of N dimension. The space-time we live in is 4 dimensional, which includes 3 number to denote location, and one number to denote time.

 

[WWGD]

There are many different types of definitions of dimension in Mathematics: Hausdorff, Lebesgue covering, etc.