COMPACTIFICATIONS OF A FIXED SET

Compactification of a space X is compact containing as dense subspace. Magills construction for compactications fixed Tychonoff through partitions applied to derive various spaces (X;T), with set and variation in topologies 'T'. Some possible extensions mappings are obtained this regard. In extension topological group, the inverse operation should be extendable homeomorphically from base group. Finally extended its extension, when also varied.