Finite-to-one continuous s-covering mappings

• Autorzy: Alexey Ostrovsky
• Języki publikacji: EN

Abstrakty

EN

The following theorem is proved. Let f: X → Y be a finite-to-one map such that the restriction $f|f^{-1}(S)$ is an inductively perfect map for every countable compact set S ⊂ Y. Then Y is a countable union of closed subsets $Y_i$ such that every restriction $f|f^{-1}(Y_i)$ is an inductively perfect map.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54E40: Special maps on metric spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2007
• Tom: 194
• Numer: 1
• Strony: 89-93

Daty

wydano

2007

Twórcy

autor

Alexey Ostrovsky

• Bundeswehr University Munich, D-85577 Neubiberg, Germany

Identyfikatory

DOI

10.4064/fm194-1-5