Algebraic characterization of finite (branched) coverings

Fundamenta Mathematicae

Volumn 158, Issue 2, 1999, Pages 165-180

  Mulero, M A ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

Branched covering; Flat homomorphism; Integral homomorphism; Open and closed map; Ring of continuous functions

Indexed keywords

EID: 0038928746     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. M. Atiyah and I. G. MacDonald, Introduction to Commutative Algebra, Addison-Wesley, 1969.
2. R. L. Blair and A. W. Hagger, Extensions of zero-sets and of real-valued functions, Math. Z. 136 (1974), 41-52.
3. N. Bourbaki, Algèbre Commutative, Chs. 1 and 2, Hermann, 1961.
4. V. I. Danilov, Algebraic varieties and schemes, in: Algebraic Geometry I, I. R. Shafarevich (ed.), Encyclopaedia Math. Sci. 23, Springer, 1994.
5. R. Engelking, General Topology, Heldermann, 1989.
6. L. Gillman and M. Jerison, Rings of Continuous Functions, Springer, 1976.
7. K. R. Goodearl, Local isomorphisms of algebras of continuous functions, J. London Math. Soc. (2) 16 (1977), 348-356.
8. A. Grothendieck, Elacute;léments de Géométrie Algébrique IV, Inst. Hautes Études Sci. Publ. Math. 28 (1966).
9. T. Isiwata, Mappings and spaces, Pacific J. Math. 20 (1967), 455-480.
10. L. F. McAuley and E. E. Robinson, Discrete open and closed maps on generalized continua and Newman's property, Canad. J. Math. 36 (1984), 1081-1112.
11. B. Malgrange, Ideals of Differentiate Functions, Oxford Univ. Press, 1966.
12. W. S. Massey, Algebraic Topology: An Introduction, Springer, 1967.
13. H. Matsumura, Commutative Ring Theory, Cambridge Univ. Press, 1986.
14. M. A. Mulero, Algebraic properties of rings of continuous functions, Fund. Math. 149 (1996), 55-66.
15. _, Rings of continuous functions and the branch set of a covering, Proc. Amer. Math. Soc. 126 (1998), 2183-2189.
16. J. C. Tougeron, Idéaux de Fonctions Différentiates, Springer, 1972.