On feebly closed mappings (Q1083056)

The concept of an open set gives rise to a variety of related concepts and the authors consider four of them: \(\alpha\)-set, semi-open set, preopen set, feebly open set. Each has its ''closed'' counterpart and so one can consider mappings which are \(\alpha\)-closed, semi-closed, preclosed, feebly closed (\(\alpha\)-closed means that images of closed sets are \(\alpha\)-closed etc.). It seems that the main result of the paper is that \(\alpha\)-closed mappings coincide with the feebly closed ones and the authors proceed to investigate a little that class. The proofs are immediate and the examples simple.