Invitation to higher local fields, Part I, section 1: Higher dimensional local fields

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Basic concepts of higher local fields and topologies on their additive and multiplicative groups are introduced.
For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-I-1.abs.html

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