A GEOMETRIC INTERPRETATION OF SPHERE BUNDLE BOUNDARIES AND GENERALIZED J-HOMOMORPHISMS WITH AN APPLICATION TO A DIAGRAM OF I. M. JAMES

DOI10.1093/QMATH/30.1.113zbMath0476.55018OpenAlexW2095242953MaRDI QIDQ5904995

Larry Smith, Martin Raussen

Publication date: 1979

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/30.1.113

zbMATH Keywords

Stiefel manifoldGrassmann manifoldPontrjagin-Thom constructiona geometric interpretation of sphere bundle boundariesexact homotopy sequence of a sphere bundlegeneralized J- homomorphisms

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Other types of cobordism (57R90) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

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