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Throughout this section we consider a connected spaceXand its rationalization map \(\widetilde {\varphi } : X\to X_{\mathbb Q}\) . We give new information on \(H^*(X_{\mathbb Q})\) and on the kernel of \(\pi _*(\widetilde {\varphi })\) . A particular attention will be given to the Gottlieb groups ofXand \(X_{\mathbb Q}\) and their relations.

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The Sullivan Rationalization, \(X_{ \mathbb Q}\) , of a Space X

  • 章节

  • 发表日期：

    2026年

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  • Yves Félix,
  • Steve Halperin

摘要

Throughout this section we consider a connected spaceXand its rationalization map \(\widetilde {\varphi } : X\to X_{\mathbb Q}\) . We give new information on \(H^*(X_{\mathbb Q})\) and on the kernel of \(\pi _*(\widetilde {\varphi })\) . A particular attention will be given to the Gottlieb groups ofXand \(X_{\mathbb Q}\) and their relations.