2 problems

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Haefliger–Thurston conjecture for flat manifold bundles
Haefliger–Thurston conjecture. Every $M$ -bundle over a manifold $B$ with
Conjectureopenclassifying-spaces foliations manifold-bundlesarXiv posted 2 days ago
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Conjecture on the connectivity of the extended $A$ -theory characteristic lift
The extended $A$ -theory characteristic provides a lift associated to a family of compact topological manifolds. Connectivity conjecture. This lift becomes highly connected as the m…
Conjectureopena-theory manifold-bundles topological-manifoldsarXiv posted 2 days ago

Haefliger–Thurston conjecture for flat manifold bundles