Note on Cohomology Ring of Certain Spaces

DOI10.2307/2033963zbMath0114.39701OpenAlexW4206492363MaRDI QIDQ5722809

Hirosi Toda

Publication date: 1963

Full work available at URL: https://doi.org/10.2307/2033963

zbMATH Keywords

cohomology ringcell complex

Mathematics Subject Classification ID

Algebraic topology (55-XX)

Related Items (12)

FREE ACTION OF FINITE GROUPS ON SPACES OF COHOMOLOGY TYPE (0, b) ⋮ Borsuk-Ulam theorems and their parametrized versions for spaces of type \((a,b)\) ⋮ Homotopy Nilpotency and Associativity ⋮ \(\mathbb Z _2\) actions on complexes with three non-trivial cells ⋮ A note on the cohomological below $1/4$-pinching theorem ⋮ Degrees of maps and homotopy type ⋮ On the homotopy type of CW complexes with the form \(S^ 2\cup e^ 4\cup e^ 6\) ⋮ A generalization of Berger’s almost \frac{1}4-pinched manifolds theorem. I ⋮ Borsuk-Ulam type theorems for multivalued maps ⋮ Deficiencies of smooth manifolds ⋮ Non-existence of odd periodic maps on certain spaces without fixed points ⋮ Zero sets of equivariant maps from products of spheres to Euclidean spaces

Cites Work

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• On the Homotopy Classification of the Extensions of a Fixed Map
• $p$-primary components of homotopy groups IV. Compositions and toric constructions
• Triviality of the mod $p$ Hopf invariants
• THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• On Join Operations in Homotopy Groups
• A generalization of the Hopf invariant

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