Geometry & Topology Monographs 3 (2000) -
Invitation to higher local fields,
Existence theorem for higher local class field theory
Viewing higher local fields as ring objects in the category of iterated
pro-ind-objects, a definition of open subgroups in Milnor K-groups
of the fields is given.
The self-duality of the additive group of a higher local field is proved.
By studying norm groups of cohomological objects and using cohomological
to higher local class field theory the existence theorem is proved.
Keywords. Higher local class field theory, existence theorem.
AMS subject classification. 19F05, 19F99, 11-99.
Department of mathematics, University of Tokyo,
3-8-1- Meguro-ku Tokyo 153-8914, Tokyo, Japan
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