Self Maps of Projective Spaces

DOI10.2307/1998769zbMath0491.55014OpenAlexW4240041571MaRDI QIDQ3952834

C. A. McGibbon

Publication date: 1982

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

Full work available at URL: https://doi.org/10.2307/1998769

zbMATH Keywords

K-theoryLefschetz numberVandermonde determinantHopf bundleAdams e-invariantgenus of nilpotent homotopy typehomologous self mapsiterated suspensions of projective spacesorder of the identity map of the connective cover of the k-fold loop space of an odd-dimensional spherereal, complex or quaternionic projective n-space

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Stable homotopy theory, spectra (55P42) Topological (K)-theory (55N15) Classification of mappings in algebraic topology (55S37)

Related Items (15)

On the same \(N\)-type of the suspension of the infinite quaternionic projective space ⋮ Stable maps to projective spaces ⋮ Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups ⋮ Certain homotopy properties related to $\text{map}(\Sigma^n \mathbb{C} P^2,S^m)$ ⋮ Primitive and decomposable elements in homology of \(\Omega \Sigma \mathbb{C} P^{\infty}\) ⋮ Self maps of $\mathbb {H}{P}^n$ via the unstable Adams spectral sequence ⋮ On \(\lambda\)-rings and topological realization ⋮ Relative phantom maps ⋮ Wilson spaces and stable splittings of BT^r ⋮ Homotopy classes that are trivial mod \({\mathcal F}\) ⋮ Algebraic structures based on a classifying space of a compact Lie group ⋮ On the Gray index conjecture for phantom maps ⋮ Homomorphic images and rationalizations based on the Eilenberg-Maclane spaces ⋮ On the same $N$-type conjecture for the suspension of the infinite complex projective space ⋮ Self maps of \(\Sigma ^ k{\mathbb{C}}P^ 3\) for k\(\geq 1\)

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