Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields

Mathematics – Number Theory

Scientific paper

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For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

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.

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