Suppose we have a set
consisting of three elements![]()
A group consisting of sets of elements of
is a topology
if
![]()
for any two open sets![]()
![]()
for any two open sets![]()
![]()
With these conditions the possible topologies are
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
Suppose we have a set
consisting of three elements![]()
A group consisting of sets of elements of
is a topology
if
![]()
for any two open sets![]()
![]()
for any two open sets![]()
![]()
With these conditions the possible topologies are
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()
![]()