Cellular approximations of infinite loop spaces

DOI10.1112/jlms/jdv007zbMath1320.55014OpenAlexW2021384944MaRDI QIDQ5253895

Natàlia Castellana, Alberto Gavira-Romero

Publication date: 5 June 2015

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdv007

zbMATH Keywords

infinite loop spaceBousfield-Kan completion: Bousfield localizationnullification: cellularization

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Homotopy functors in algebraic topology (55P65) Maps between classifying spaces in algebraic topology (55R37)

Cites Work

• Unnamed Item
• The Sullivan conjecture on maps from classifying spaces
• On function spaces whose source is the classifying space of an elementary abelian \(p\)-group
• Exceptional isogenies and the classifying spaces of simple Lie groups
• The localization of spaces with respect to homology
• An arithmetic square for virtually nilpotent spaces
• Localization with respect to K-theory
• The cellular structure of the classifying spaces of finite groups
• On the functors \(CW_ A\) and \(P_ A\)
• Cellular spaces, null spaces and homotopy localization
• Homotopy limits, completions and localizations
• Postnikov pieces and 𝐵ℤ/𝕡-homotopy theory
• Nullification and cellularization of classifying spaces of finite groups
• Localization and Periodicity in Unstable Homotopy Theory
• Cellularization of classifying spaces and fusion properties of finite groups
• Homotopy idempotent functors on classifying spaces
• Infinite loop spaces and Neisendorfer localization

This page was built for publication: Cellular approximations of infinite loop spaces