Interactive Real Analysis5.3. Connected and Disconnected Sets
Definition 5.3.4: Totally Disconnected
A set S is called totally disconnected if for
each distinct
x, y 
S
there exist disjoint open set U and V such that
x U,
y V,
and
(U 
S)
(V
S) = S.
Context
S
there exist disjoint open set U and V such that
x U,
y V,
and
(U S)
(V
S) = S.
Context