| Abstract | n this paper if
)
,
(
?
X
is a topological space then for each subset
A
of
X
a specific subset
^
A
of
X
called the
?
- minimal set
at
A
is defined. These sets are defined a
nd some of their properties are presented. Using these, we characterize the normal
principal topological spaces and discuss some properties of th
e connected topological spaces. Employing these characterizations
and properties, we describe an
algorithm for enumerating and constructing all
minimal sets, regular and normal topologies on
finite sets |