Geometry & Topology Monographs 3 (2000) 61–74

DOI: 10.2140/gtm.2000.3.61

arXiv: math.NT/0012137

Abstract

Certain topologies on Milnor K–groups of higher local fields K are studied. These are related to the topology on the multiplicative group and important for explicit higher local class field theory. The structure of the quotient of Milnor K–groups modulo the intersection of all neighbourhoods of zero is described.

Keywords

K–groups endowed with topology, higher local fields, torsion in K–groups, Satz 90 for K–groups

Mathematical Subject Classification

Primary: 19D99, 19F15, 46A45, 54E99

References

Publication

Published: 10 December 2000

Authors