Truncated projective spaces, Brown-Gitler spectra and indecomposable \(\mathcal{A}(1)\)-modules

DOI10.1016/j.topol.2014.12.023zbMath1310.19005arXiv1404.5200OpenAlexW1988596266MaRDI QIDQ2253721

Geoffrey M. L. Powell

Publication date: 12 February 2015

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

Full work available at URL: https://arxiv.org/abs/1404.5200

zbMATH Keywords

Steenrod algebraindecomposable moduleBrown-Gitler spectratruncated projective space

Mathematics Subject Classification ID

Connective (K)-theory, cobordism (19L41) Steenrod algebra (55S10)

Cites Work

• The connective real \(K\)-theory of Brown-Gitler spectra
• On connective KO-theory of elementary abelian 2-groups
• An addendum to bo-resolutions
• The Sullivan conjecture on maps from classifying spaces
• The Hopf ring for \(bo\) and its connective covers
• bo-resolutions
• A new infinite family in \(_2\pi^s_1\)
• A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra
• On the spectrum \(bo \wedge \)tmf
• Correction to "The Stable Geometric Dimension of Vector Bundles Over Real Projective Spaces"
• An Integral Version of the Brown-Gitler Spectrum
• An Alpine Expedition through Algebraic Topology
• The Stable Geometric Dimension of Vector Bundles Over Real Projective Spaces
• The homology and Morava K-theory of Ω 2 SU(n)
• Uniqueness of BSO
• GENERALIZED HOMOLOGY AND THE GENERALIZED VECTOR FIELD PROBLEM
• Modules over the Steenrod algebra
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