Finite-to-one continuous s-covering mappings

Alexey Ostrovsky. "Finite-to-one continuous s-covering mappings." Fundamenta Mathematicae 194.1 (2007): 89-93. <http://eudml.org/doc/282589>.

@article{AlexeyOstrovsky2007,
abstract = {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.},
author = {Alexey Ostrovsky},
journal = {Fundamenta Mathematicae},
keywords = {inductively perfect mapping; -covering mapping; finite-to-one mapping},
language = {eng},
number = {1},
pages = {89-93},
title = {Finite-to-one continuous s-covering mappings},
url = {http://eudml.org/doc/282589},
volume = {194},
year = {2007},
}

TY - JOUR
AU - Alexey Ostrovsky
TI - Finite-to-one continuous s-covering mappings
JO - Fundamenta Mathematicae
PY - 2007
VL - 194
IS - 1
SP - 89
EP - 93
AB - 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.
LA - eng
KW - inductively perfect mapping; -covering mapping; finite-to-one mapping
UR - http://eudml.org/doc/282589
ER -