On the same $N$-type conjecture for the suspension of the infinite complex projective space

DOI10.1090/S0002-9939-08-09666-4zbMath1162.55006OpenAlexW2060056047WikidataQ122959157 ScholiaQ122959157MaRDI QIDQ3617608

Dae-Woong Lee

Publication date: 30 March 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09666-4

zbMATH Keywords

commutatorSamelson productWhitehead productPostnikov approximationsame \(N\)-typethe group of self-homotopy equivalences

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Postnikov systems, (k)-invariants (55S45) Suspensions (55P40) Classification of mappings in algebraic topology (55S37)

Related Items (12)

On the same \(N\)-type of the suspension of the infinite quaternionic projective space ⋮ Near-rings on digital Hopf groups ⋮ On the generalized same N-type conjecture ⋮ Digital H-spaces and actions in the pointed digital homotopy category ⋮ Primitive and decomposable elements in homology of \(\Omega \Sigma \mathbb{C} P^{\infty}\) ⋮ Comultiplication structures on the wedge product of spheres ⋮ Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces ⋮ Homotopy comultiplications on the \(k\)-fold wedge of spheres ⋮ On the same \(n\)-types for the wedges of the Eilenberg-MacLane spaces ⋮ On the same \(N\)-type structure for the suspension of the Eilenberg-Mac Lane spaces ⋮ Algebraic loop structures on algebra comultiplications ⋮ On automorphisms of graded quasi-lie algebras

Cites Work

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• On spaces with the same \(n\)-type for all \(n\)
• Torsion in homotopy groups
• Projective elements in \(K\)-theory and self maps of \(\Sigma CP^{\infty}\)
• Spaces of the same n-type, for all n
• Homotopy limits, completions and localizations
• Self Maps of Projective Spaces
• Classification of Spaces of the Same n-Type for All n
• Phantom Maps and Rational Equivalences
• Homotopical Localization
• Phantom maps and spaces of the same \(n\)-type for all \(n\)

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