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

Ivan Fesenko
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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.

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Ivan Fesenko. 2000-12-18. Invitation to higher local fields, Part I, section 6: Topological Milnor K-groups of higher local fields. https://arxiv.org/abs/math/0012137

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