Let T consist of , and all intervals (- ,p) for p . Prove that T is a topology on
Do you know what it means to say that a collection of subsets of a set is a topology on that set?
If so, then which of the parts of that definition gives you trouble?
and belong to the collection.
A finite intersection of sets in the collection is in the collection.
An arbitrary union of sets in the collection is in the collection.
Last edited by Moo; January 11th 2009 at 12:16 PM.
Reason: mistake oO