A note on the Hilali conjecture
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Manuel Amann
Abstract
In this short note we observe that the Hilali conjecture holds for 2-stage spaces, i.e. we argue that the dimension of the rational cohomology is at least as large as the dimension of the rational homotopy groups for these spaces. We also prove the Hilali conjecture for a class of spaces which puts it into the context of fibrations.
References
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© 2017 by De Gruyter
Articles in the same Issue
- Frontmatter
- A note on the Hilali conjecture
- Finite groups have more conjugacy classes
- The gauge action, DG Lie algebras and identities for Bernoulli numbers
- Unitary embeddings of finite loop spaces
- Topological complexity of planar polygon spaces with small genetic code
- Numerical semigroups in a problem about cost-effective transport
- On the smallest simultaneous power nonresidue modulo a prime
- Decompositions of the higher order polars of plane branches
- A formula for the expected volume of the Wiener sausage with constant drift
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The slice spectral sequence for the
- Incidences between points and generalized spheres over finite fields and related problems
- Mean values of the Witten L-function for SU(2)
- A direct computation of the cohomology of the braces operad
- Abelian varieties over finite fields as basic abelian varieties
Articles in the same Issue
- Frontmatter
- A note on the Hilali conjecture
- Finite groups have more conjugacy classes
- The gauge action, DG Lie algebras and identities for Bernoulli numbers
- Unitary embeddings of finite loop spaces
- Topological complexity of planar polygon spaces with small genetic code
- Numerical semigroups in a problem about cost-effective transport
- On the smallest simultaneous power nonresidue modulo a prime
- Decompositions of the higher order polars of plane branches
- A formula for the expected volume of the Wiener sausage with constant drift
-
The slice spectral sequence for the
- Incidences between points and generalized spheres over finite fields and related problems
- Mean values of the Witten L-function for SU(2)
- A direct computation of the cohomology of the braces operad
- Abelian varieties over finite fields as basic abelian varieties
