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
