Application on local discrete expansion

Abstract

The process of changing a topology by some types of its local discrete expansion preserves s-closeness, S-closeness, semi-compactness, semi-Ti, semi-Ri, i∈{0,1,2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.

Keywords

• Near open sets
• local discrete expansion
• extremely disconnected
• semi-compact
• s-closed
• S-closed
• semi-Ti
• semi-Ri
• and cid spaces.