The real spectrum of an ideal and KO-theory exact sequences
type: Item
instance of: scholarly article
title: The real spectrum of an ideal and KO-theory exact sequences
zbMATH Open document ID: 0631.14018
DOI: 10.1007/BF00533823
published in: \(K\)-Theory
publication date: 1987-01-01T00:00:00Z
review text: In [Rocky Mountain J. Math. 14, 733--765 (1984; Zbl 0576.14024)], the author proved that, up to 2-torsion, the Witt ring of any ring A agrees with the ring KO(Sper(A)), where Sper(A) is the real spectrum of A. In the present paper the investigation of the K-theory of real spectra is continued. The main objective is a discussion of the analogues to certain short and long exact sequences in topological \(K\)-theory. In the real spectrum version of these sequences the ringed space structure of real spectra plays an important role. Correspondingly the major part of the paper is dedicated to a study of real spectra as ringed space, in particular of quotients of real spectra by closed subspaces.
reviewed by: Niels Schwartz
Mathematics Subject Classification ID: 14Pxx
Mathematics Subject Classification ID: 55N15
zbMATH DE Number: 4025590
zbMATH Keywords: Witt ring
zbMATH Keywords: \(K\)-theory of real spectra
author: Gregory W. Brumfiel
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4025590