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
Email: ibf@maths.nott.ac.uk
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