On Fibering of Cobordism Classes

DOI10.2307/1996710zbMath0267.57025OpenAlexW4244949350MaRDI QIDQ5683975

Robert E. Stong

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996710

Mathematics Subject Classification ID

Other types of cobordism (57R90) Fiber spaces in algebraic topology (55R05)

Related Items (29)

Some applications of differential topology in general relativity ⋮ Characteristic numbers and cobordism classes of fiberings with fiber $RP(2k)$ ⋮ Locally Free Actions and Stiefel-Whitney Numbers. II ⋮ Projective bundles over small covers and the bundle triviality problem ⋮ Generators of the unoriented bordism ring which are fibered over products of projective spaces \(RP(2^ r-1)\) ⋮ The bordism class of manifolds with involution ⋮ Manifolds with involution ⋮ Subbundles of the Tangent Bundle ⋮ Branched Coverings. I ⋮ Involutions with Fixed Point Set of Constant Codimension ⋮ \((\mathbb Z^2)^k\)-actions with fixed point set of constant codimension \(2^k+2v+1\) ⋮ Cobordisme fibré et approximation d'une sous-variété singuliére par des sous-variétés \(C^\infty\) ⋮ \((\mathbb Z_2)^k\)-actions with fixed point set of constant codimension \(2^k+8^1\) ⋮ The Cayley plane and string bordism ⋮ \((Z_ 2)^ k\)-actions with fixed point set of constant codimension ⋮ Unoriented Branched Coverings Arising from Group Actions ⋮ \(({\mathbb Z}_2)^k\)-actions and the minimal data of the normal bundle ⋮ Constant Codimension Fixed Sets of Commuting Involutions ⋮ Commuting involutions with fixed point set of variable codimension ⋮ The Landweber-Novikov algebra and formal vector fields on the line ⋮ Splitting the Tangent Bundle ⋮ Holonomy group and generalized Maslov classes of submanifolds of spaces with an affine connection ⋮ Family of generators of the rational symplectic cobordism ring ⋮ Commuting involutions with fixed point set of constant codimension ⋮ Concordance and bordism of line fields ⋮ Manifolds and Stiefel-Whitney Classes ⋮ Fiberings with fiber \(\text{RP}(k)\) ⋮ Manifolds with Involution Whose Fixed Set has Codimension Four ⋮ All 4-dimensional infra-solvmanifolds are boundaries

Cites Work

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• Determination of the cobordism ring
• Fibring within a cobordism class
• The bordism class of a bundle space
• Cobordism and bundles over spheres
• Oriented Manifolds Fibered over the Circle

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