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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 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 [[axiom]]s:

# 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_(mathematics)|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 set]]s".

[[category: Topology]]

[[category: Topology]]