The cup-length of the oriented Grassmannians vs a new bound for zero-cobordant manifolds

zbMath1194.57032MaRDI QIDQ961975

Július Korbaš

Publication date: 1 April 2010

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1267798499

zbMATH Keywords

Stiefel-Whitney classconformismcup-lengthLyusternik-Shnirel'mann categoryoriented Grassland manifold

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Characteristic classes and numbers in differential topology (57R20) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Algebraic topology on manifolds and differential topology (57R19)

Related Items (17)

A note on the \(\mathbb Z_2\)-cohomology algebra of oriented Grassmann manifolds ⋮ Characteristic rank of canonical vector bundles over oriented Grassmann manifolds \(\tilde{G}_{3, n}\) ⋮ On the cohomology ring and upper characteristic rank of Grassmannian of oriented 3-planes ⋮ On maximality of the cup-length of flag manifolds ⋮ Characteristic rank of vector bundles over Stiefel manifolds ⋮ The rational zero-divisor cup-length of oriented partial flag manifolds ⋮ Cup-length of oriented Grassmann manifolds via Gröbner bases ⋮ The characteristic rank and cup-length in oriented Grassmann manifolds ⋮ On the characteristic rank of vector bundles over oriented Grassmannians ⋮ A note on the characteristic rank of null-cobordant manifolds ⋮ Unnamed Item ⋮ Bounds for the characteristic rank and cup-length of oriented Grassmann manifolds ⋮ A note on the characteristic rank of oriented Grassmann manifolds ⋮ A note on the cohomology ring of the oriented Grassmann manifolds $\widetilde{G}_{n,4}$ ⋮ Chern rank of complex bundle ⋮ On the topological complexity of Grassmann manifolds ⋮ Obituary: Prof. RNDr. Július Korbaš, CSc. passed away (1955--2022)

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