Finite-to-one continuous s-covering mappings
Alexey Ostrovsky (2007)
Fundamenta Mathematicae
Similarity:
The following theorem is proved. Let f: X → Y be a finite-to-one map such that the restriction is an inductively perfect map for every countable compact set S ⊂ Y. Then Y is a countable union of closed subsets such that every restriction is an inductively perfect map.