Finite-to-one continuous s-covering mappings

Alexey Ostrovsky

Fundamenta Mathematicae, Tome 193 (2007), p. 89-93 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2007-01-01

Zbl 1131.54009

EUDML-ID : urn:eudml:doc:282589

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm194-1-5,
     author = {Alexey Ostrovsky},
     title = {Finite-to-one continuous s-covering mappings},
     journal = {Fundamenta Mathematicae},
     volume = {193},
     year = {2007},
     pages = {89-93},
     zbl = {1131.54009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm194-1-5}
}

Alexey Ostrovsky. Finite-to-one continuous s-covering mappings. Fundamenta Mathematicae, Tome 193 (2007) pp. 89-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm194-1-5/