Stable properties of rank 1 loop structures

DOI10.1016/0040-9383(81)90031-8zbMath0453.55005OpenAlexW2060997221MaRDI QIDQ1149140

C. A. McGibbon

Publication date: 1981

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-9383(81)90031-8

zbMATH Keywords

classifying spaces of topological groups of the homotopy type of the p local 2n-1 sphereinfinite suspension mapkernel of the Hurewicz homomorphism from homotopy groups to the stable homotopy groupsloop maps of localized spheres into infinite loop spacesloop structuresstably homotopy equivalent

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Homotopy groups of special spaces (55Q52)

Related Items (5)

Wilson spaces and stable splittings of BT^r ⋮ The cyclotomic trace and algebraic K-theory of spaces ⋮ K- theory and finite loop spaces of rank one ⋮ Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces ⋮ On the mod p decomposition of \(Q({\mathbb{C}}P^{\infty})\)

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