Characteristic forms of transformations (Q801314)

The author defines boundary preserving transformations on connected \(T_ 1\)-spaces and proves that they are homeomorohisms; defines interior preserving transformations and proves that they usually are open imbeddings; and defines the co-continuous transformations, which have not been discussed in continuous, closed and open transformations. The characteristic forms of transformations are most important in the discussion, and there are 17 cases for homeomorphisms.