Addendum to “A new proof of the Bott periodicity theorem”: [Topology Appl. 119 (2002) 167–183]

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• 作者：Behrens ; Mark
• 关键词： 55R45 ; ; 55R65 ; Clifford modules ; Bott periodicity ; Homotopy groups ; Spaces and groups of matrices
• 刊名：Topology and its Applications
• 出版年：2004
• 出版时间：August 28, 2004
• 年：2004
• 卷：143
• 期：1-3
• 页码：281-290
• 全文大小：122 K

文摘

A. Elmendorf has found an error in the approach to Lemmas 2.2 and 2.3 of “A new proof of the Bott periodicity theorem” (Topology and its Applications, 2002, 167–183). There are also errors in the definitions of the maps in Sections 4.2 and 4.5. In this paper we supply corrections to these errors. We also sketch a major simplification of the argument proving real Bott periodicity, unifying the eight quasifibrations appearing in the real case, using Clifford algebras.