- Tytuł:
- Algebraic characterization of finite (branched) coverings
- Autorzy:
- Mulero, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/1205293.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
branched covering
open and closed map
ring of continuous functions
flat homomorphism
integral homomorphism - Opis:
- Every continuous map X → S defines, by composition, a homomorphism between the corresponding algebras of real-valued continuous functions C(S) → C(X). This paper deals with algebraic properties of the homomorphism C(S) → C(X) in relation to topological properties of the map X → S. The main result of the paper states that a continuous map X → S between topological manifolds is a finite (branched) covering, i.e., an open and closed map whose fibres are finite, if and only if the induced homomorphism C(S) → C(X) is integral and flat.
- Źródło:
-
Fundamenta Mathematicae; 1998, 158, 2; 165-180
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł