Changes

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 3 axioms:

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 3 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]].

[[category: Topology]]

[[category: Topology]]