Uniqueness of BSO

DOI10.1017/S0305004100053111zbMath0338.55011OpenAlexW2107348806MaRDI QIDQ4107232

J. F. Adams, Stewart B. Priddy

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1017/s0305004100053111

Mathematics Subject Classification ID

Loop spaces (55P35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Homotopy theory (55P99) Steenrod algebra (55S10) Adams spectral sequences (55T15) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (30)

The Hatcher-Waldhausen map is a spectrum map ⋮ The Picard group of motivic \(\mathcal{A}_{\mathbb{C}}(1)\) ⋮ Enumerating partitions arising in homotopy theory ⋮ Unnamed Item ⋮ \(\mathcal {E}_\infty \) ring spectra and elements of Hopf invariant 1 ⋮ Pseudo-K-theories modulo p and higher Milnor operations ⋮ The bu cohomology of \(BP<n>\) ⋮ Simply connected manifolds of positive scalar curvature ⋮ New relationships between steenrod operations for certain spaces ⋮ Higher chromatic Thom spectra via unstable homotopy theory ⋮ Classifying and extending \(Q_0\) local \(\mathcal{A}(1)\)-modules ⋮ Wilson spaces, Snaith constructions, and elliptic orientations ⋮ On the uniqueness of Dyer-Lashof operations on the Bott periodicity spaces ⋮ Multiplicative 2-cocycles at the prime 2 ⋮ The smooth Whitehead spectrum of a point at odd regular primes ⋮ On connective KO-theory of elementary abelian 2-groups ⋮ On the nonexistence of higher twistings over a point for Borel cohomology of \(K\)-theory ⋮ Truncated projective spaces, Brown-Gitler spectra and indecomposable \(\mathcal{A}(1)\)-modules ⋮ On \(\mathrm{BP}\langle 2 \rangle\)-cooperations ⋮ Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory ⋮ Infinite loop space theory ⋮ Uniqueness of \(BP \langle {n} \rangle\) ⋮ Cocycle schemes and 𝑀𝑈[2𝑘,∞)–orientations ⋮ The \(BP \langle 2\rangle \)-cooperations algebra at odd primes ⋮ The realizability of some finite-length modules over the Steenrod algebra by spaces ⋮ Algebraic \(K\)-theory of the two-adic integers ⋮ On the cohomology of algebraic K-spectra over finite fields ⋮ Hopf algebra structure on topological Hochschild homology ⋮ Uniqueness of the infinite loop space structures on connective fibre spaces of BSO ⋮ Tangential thickness of manifolds

Cites Work

• Unnamed Item
• Genetics of homotopy theory and the Adams conjecture
• Categories and cohomology theories
• DYER-LASHOF OPERATIONS FOR THE CLASSIFYING SPACES OF CERTAIN MATRIX GROUPS
• Homotopy-everything 𝐻-spaces
• EXPONENTIAL ISOMORPHISMS FOR λ-RINGS
• Modules over the Steenrod algebra

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