Topological realization of the integer ring of local field
type: Item
instance of: scholarly article
title: Topological realization of the integer ring of local field
zbMATH Open document ID: 0929.55009
author: Takeshi Torii
published in: Journal of Mathematics of Kyoto University
publication date: 2000-01-23T00:00:00Z
review text: This paper shows that one can construct a sequence of ring spectra for Morava \(K\)-theories and ring spectrum maps whose homotopy groups are isomorphic to the tower of totally ramified extensions of \({\mathcal O}_{k}\), the integer ring of the degree \(n\) unramified extensions of the \(p\)-adic number field \({\mathcal Q}_{p}\).
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55P60
Mathematics Subject Classification ID: 55N22
zbMATH DE Number: 1319574
zbMATH Keywords: Morava K-theory
zbMATH Keywords: ramified extension
reviewed by: Jonathan Hodgson
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250518009
OpenAlex ID: W1959645187
DOI: 10.1215/KJM/1250518009
description: scientific article; zbMATH DE number 1319574