# Complement of Whole Space

• May 31st 2011, 06:52 PM
Borkborkmath
Complement of Whole Space
Say T is the topological space that we are working with.

What is C(T) where C() is complement?

Say we have a t $\in$T
Is t not an element of C(T)?
Or is C(T) = T since T is the whole/universal space and thus t $\in$C(T)
• May 31st 2011, 07:41 PM
Tinyboss
I'm tempted to wait for a certain member to come answer this for you...