An overview of rationalization theories of non-simply connected spaces and non-nilpotent groups

Autor:	Sergei O. Ivanov
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Applied Mathematics General Mathematics FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Mathematics::Algebraic Topology
Popis:	We give an overview of five rationalization theories for spaces (Bousfield-Kan's $\mathbb Q$-completion; Sullivan's rationalization; Bousfield's homology rationalization; Casacuberta-Peschke's $\Omega$-rationalization; G\'{o}mez-Tato-Halperin-Tanr\'{e}'s $\pi_1$-fiberwise rationalization) that extend the classical rationalization of simply connected spaces. We also give an overview of the corresponding rationalization theories for groups ($\mathbb Q$-completion; $H\mathbb Q$-localization; Baumslag rationalization) that extend the classical Malcev completion.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::62377b0e5541be2bf087d0e962c94648 http://arxiv.org/abs/2111.10694 Zobrazit plný text záznamu