Grup dan Semigrup Topologis - Diponegoro University | Institutional Repository (UNDIP-IR)

ABSTRACT
A group
with topology
on
can be turned topological group ( , ) if
multiplication mapping
continuous such that inverse mapping is
continuous. A semigrup
with topology
on
can be turned topological
semigroup ( , ) if the multiplication ,as a mapping of
is continuous.
A group(semigroup)
can be turned into a topological group(semigroup) by
providing it with the discrete topology.
Keywords : group, semigroup, topological semigroup, topological group, inverse
mapping, discrete topology