A cellular construction of BP and other irreducible spectra

DOI10.1007/BF01215522zbMath0417.55009MaRDI QIDQ755233

Stewart B. Priddy

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172967

zbMATH Keywords

Brown-Peterson spectrumobstruction theoryAdams spectral sequencesphere spectrumhomotopy and cohomology groups of Bp

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Obstruction theory in algebraic topology (55S35) Adams spectral sequences (55T15) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (5)

Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres ⋮ Secondary power operations and the Brown-Peterson spectrum at the prime \(2\) ⋮ BP: close encounters of the \(E_\infty\) kind ⋮ A theorem on multiplicative cell attachments with an application to Ravenel's \(X(n)\) spectra ⋮ Chromatic completion

Cites Work

• The Steenrod algebra and its dual
• A spectrum whose \(Z_ p\) cohomology is the algebra of reduced \(p\)-th powers
• On the symplectic cobordism ring
• Indecomposables in Tors MSp
• The nilpotency of elements of the stable homotopy groups of spheres
• The symplectic cobordism ring. I
• The Ω-Spectrum for Brown-Peterson Cohomology Part II
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