Poincar¨¦ complex diagonals

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• 作者：John R. Klein
• 关键词：Mathematics Subject Classification (2000) Primary 57P10 ; Secondary 55P91
• 刊名：Mathematische Zeitschrift
• 出版年：2008
• 出版时间：March, 2008
• 年：2008
• 卷：258
• 期：3
• 页码：587-607
• 全文大小：252.7 KB

文摘

Let M be a Poincar¨¦ duality space of dimension d ≥ 4. In this paper we describe a complete obstruction to realizing the diagonal map M → M ¡Á M by a Poincar¨¦ embedding. The obstruction group depends only on the fundamental group and the parity of d.