The rational homotopy of Thom spaces and the smoothing of homology classes

DOI10.1007/BF02567434zbMath0592.57025OpenAlexW1998124478MaRDI QIDQ1075650

Stefan Papadima

Publication date: 1985

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140033

zbMATH Keywords

cohomology classrational homotopyThom spaceclosed connected subgroup of the special orthogonal groupG-realizableG-smoothable homology classSp(r)SU(r)U(r)universal Euler classuniversal Thom class

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Rational homotopy theory (55P62) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Realizing cycles by submanifolds (57R95)

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