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The first k-invariant of a double loop space is trivial

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Publication:1120152
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DOI10.1007/BF01190672zbMath0672.55010MaRDI QIDQ1120152

Dominique Arlettaz

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

cohomology operations(co)homology suspension for Eilenberg- MacLane spacesconnected (2p-2)-fold loop spacefirst k-invariantfirst k-invariant of a connected double loop space


Mathematics Subject Classification ID

Loop spaces (55P35) Steenrod algebra (55S10) Eilenberg-Mac Lane spaces (55P20) Postnikov systems, (k)-invariants (55S45)


Related Items (3)

The homology of the Higman-Thompson groups ⋮ Brauer spaces for commutative rings and structured ring spectra ⋮ Some hermitian K-groups via geometric topology



Cites Work

  • On the homology of the special linear group over a number field
  • A certain exact sequence
  • On the theory of obstructions


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