A DIRECT PROOF OF THE THEOREM ON FORMAL FUNCTIONS

A DIRECT PROOF OF THE THEOREM ON FORMAL FUNCTIONS

We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2009-12, Vol.137 (12), p.4083-4088
Hauptverfasser: DE SALAS, FERNANDO SANCHO, DE SALAS, PEDRO SANCHO
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
General mathematics
General, history and biography
Mathematical functions
Mathematical theorems
Mathematics
Morphisms
Sciences and techniques of general use
Topology
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Beschreibung
Zusammenfassung:We give a direct and elementary proof of the theorem on formal functions by studying the behaviour of the Godement resolution of a sheaf of modules under completion. This proof also works in some non-noetherian cases.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-10015-1