Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part I, section 6, pages 61-74

Topological Milnor K-groups of higher local fields

I. Fesenko

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.
AMS subject classification. 54E99, 19D99, 46A45, 19F15.

E-print: arXiv:math.NT/0012137

Ivan Fesenko
Department of mathematics, University of Nottingham, Nottingham, NG7 2RD UK

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