On the Height of the First Stiefel-Whitney Class

DOI10.2307/2043095zbMath0433.57009OpenAlexW4239155088MaRDI QIDQ3871586

Howard L. Hiller

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043095

zbMATH Keywords

multiplicative order of the first Stiefel-Whitney class of the universal bundle

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 of classifying spaces and characteristic classes in algebraic topology (55R40) Adams spectral sequences (55T15)

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Cites Work

• On the multiplication in the characteristic ring of a sphere bundle
• On the Cohomology of Real Grassmanians
• Some non-embedding theorems for the Grassmann manifolds G₂,_n and G₃,_n