Geodesic
Finite-to-one continuous $s$-covering mappings
Alexey Ostrovsky1
1 Bundeswehr University Munich D-85577 Neubiberg, Germany
Fundamenta Mathematicae, Tome 194 (2007) no. 1, pp. 89-93 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The following theorem is proved. Let $f: X \to Y$ be a finite-to-one map such that the restriction $f|f^{-1}(S)$ is an inductively perfect map for every countable compact set $S \subset Y$. 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.
DOI : 10.4064/fm194-1-5
Keywords: following theorem proved finite to one map restriction inductively perfect map every countable compact set subset countable union closed subsets every restriction inductively perfect map

Alexey Ostrovsky 1

1 Bundeswehr University Munich D-85577 Neubiberg, Germany 
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Alexey Ostrovsky. Finite-to-one continuous $s$-covering mappings. Fundamenta Mathematicae, Tome 194 (2007) no. 1, pp. 89-93. doi: 10.4064/fm194-1-5

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