On the Nonimmersion of Products of Real Projective Spaces

DOI10.2307/2001241zbMath0694.57018OpenAlexW4246288227MaRDI QIDQ3469918

W. Stephen Wilson, Hyun Jong Song

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001241

zbMATH Keywords

Euler class\(BP^*\) theorynon-immersions of products of real projective spacesvector bundle over a product of projective spaces

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Immersions in differential topology (57R42) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (3)

$BP$-homology of elementary abelian 2-groups: $BP$-module structure ⋮ Bounds for higher topological complexity of real projective space implied by BP ⋮ Vector fields on $RP^{m}×RP^{n}$

Cites Work

• A strong non-immersion theorem for real projective spaces
• The immersion conjecture for differentiable manifolds
• Note on gamma-dimension and products of real projective spaces
• Construction of nonsingular bilinear maps
• On the existence of \(A_ k\)-structures on stable vector bundles
• A Proof of the Conner-Floyd Conjecture
• The Brown-Peterson Homology of Elementary p-Groups
• Unstable BP-Homology and Desuspensions
• Immersions of Manifolds
• The Morava K-Theories of Eilenberg-MacLane Spaces and the Conner-Floyd Conjecture
• GEOMETRIC DIMENSION OF BUNDLES OVER REAL PROJECTIVE SPACES
• Thom Complexes
• OPERATIONS IN KO-THEORY AND PRODUCTS OF REAL PROJECTIVE SPACES
• Some Immersion Theorems for Projective Spaces
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