Hausdorff connectifications

Abstract

Disconnectedness in topological space is analyzed to obtain Hausdorff connectifications of that topological space. Hausdorff connectifications are obtained by some direct constructions and by some partitions of connectifications. Also lattice structure is included in the collection of all Hausdorff connectifications.

Keywords

• H-closed sets
• cut points, n-disconnected set
• pointly connected mapping
• Connectifications
• Remainders of Connectifications
• Lattice isomorphism.