What is an underlying topological space?
I don't get the definition of this in my topology book.
I wonder what the definition of an underlying topological space is.
What is an underlying topological space?
I don't get the definition of this in my topology book.
I wonder what the definition of an underlying topological space is.
If you're dealing with a topological {group, vector space, ring or any other algebraic structure}, referring to "the underlying topological space" usually means to look at the object only as a topological space.
You can find this with Lie groups, the real spaces $\,\Bbb R^n\,$, general Hilbert or Banach spaces, etc.