Cup products and finite loop spaces
From MaRDI portal
Publication:1193422
DOI10.1016/0166-8641(92)90063-6zbMath0757.55014OpenAlexW2041341696MaRDI QIDQ1193422
Publication date: 27 September 1992
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-8641(92)90063-6
homotopy groupcup productpolynomial algebrafinite loop spacesecondary operations\(\bmod 2\) cohomology
(H)-spaces and duals (55P45) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Eilenberg-Mac Lane spaces (55P20) Postnikov systems, (k)-invariants (55S45) Suspensions (55P40) Secondary and higher cohomology operations in algebraic topology (55S20)
Related Items
A finite loop space not rationally equivalent to a compact Lie group, The first homotopy group of a finite \(H\)-space
Cites Work
- Unnamed Item
- Unnamed Item
- Some relations in the mod 3 cohomology of H-spaces
- On the non-existence of elements of Hopf invariant one
- The rational cohomology of finite loop spaces
- On the \(\mod2\) cohomology of certain \(H\)-spaces
- The type of a torsion free finite loop space
- On 6-connected finite H-spaces with two torsion
- Evaluating a \(p\)-th order cohomology operation
- Steenrod squares and H-spaces. II
- On the projective plane of an H-space
- Some Whitehead products in \(S^ n\)
- The structure of the Spin cobordism ring
- On the structure of Hopf algebras
- Secondary cohomology operations on the Thom class
- Stable secondary cohomology operations
- Secondary operations in the cohomology of H-spaces
- Steenrod connections and connectivity in 𝐻-spaces
- Higher Order Operations in the Mod 2 Cohomology of Finite H-Spaces
- Coalgebra Extensions in Two-Stage Postnikov Systems.
- The index of a tangent 2-field