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A Topological space is a pair (X, T), where X is a set, and T is a collection of subsets of X that satisfy the following properties:
A Topological space is a pair (X, T), where X is a set, and T is a collection of subsets of X that satisfy the following axioms:
# The empty set and X are elements of T.
# The empty set and X are elements of T.
# The union of any collection of elements in T is in T.
# The union of any collection of elements in T is in T.
# The intersection of any finite collection of elements in T is in T.
# The intersection of any finite collection of elements in T is in T.
Elements in T are called [[Open Sets]].
Elements in T are called [[Open Sets]].