The Mislin genus, phantom maps and classifying spaces

DOI10.1016/0166-8641(95)00076-3zbMath0861.55013OpenAlexW2054586220MaRDI QIDQ1916441

Joseph Roitberg

Publication date: 3 July 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00076-3

zbMATH Keywords

homotopy classesgenusphantom mapsrationalizationhomotopy groupsnilpotent spaces

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60)

Related Items (2)

Rationally equivalent nilpotent groups and spaces ⋮ Simply-connected polyhedra dominate only finitely many different shapes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unipotency and nilpotency in homotopy equivalences
• Locally finite approximation of Lie groups. I
• Localization of a certain subgroup of self-homotopy equivalences
• On spaces with the same \(n\)-type for all \(n\)
• Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences
• The normalizer of the Weyl group
• Erratum to 'Rational Lie algebras and p-isomorphisms of nilpotent groups and homotopy types'
• Phantom maps and torsion
• Self-homotopy equivalences of \(H_*(-;Z/p)\)-local spaces
• The \(K\)-theory of Eilenberg-MacLane complexes
• On \(p\)-equivalences and \(p\)-universal spaces
• Phantom Maps and Rational Equivalences
• THE REAL K-THEORY OF CLASSIFYING SPACES

This page was built for publication: The Mislin genus, phantom maps and classifying spaces