Category:Highly-connected manifolds

An $<wikitex>; An $n$-manifold $M$ is called highly connected if the homotopy groups $\pi_i(M)$ vanish for $i < [n/2]$. That is, $(n-1)$-connected 2n-manifolds and $(n-1)$-connected $(2n+1)$-manifolds are highly connected. This category contains pages about highly connected manifolds, as just defined. </wikitex> [[Category:Manifolds]]n$-manifold $M$ is called highly connected if the homotopy groups $\pi_i(M)$ vanish for $i < [n/2]$. That is, $(n-1)$-connected 2n-manifolds and $(n-1)$-connected $(2n+1)$-manifolds are highly connected.

This category contains pages about highly connected manifolds, as just defined.