An Overview of Rationalization Theories of Non-simply Connected Spaces and Non-nilpotent Groups
نویسندگان
چکیده
We give an overview of five rationalization theories for spaces (Bousfield-Kan’s ℚ-completion; Sullivan’s rationalization; Bousfield’s homology Casacuberta-Peschke’s Ω-rationalization; Gómez-Tato-Halperin-Tanré’s π1-fiberwise rationalization) that extend the classical simply connected spaces. also corresponding groups (ℚ-completion; Hℚ-localization; Baumslag Malcev completion.
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica
سال: 2022
ISSN: ['1439-7617', '1439-8516']
DOI: https://doi.org/10.1007/s10114-022-2063-9