Category:Highly-connected manifolds
From Manifold Atlas
(Difference between revisions)
(Created page with '<wikitex>; An $n$-manifold $M$ is called highly connected if the homotopy groups $\pi_i(M)$ vanish for $i \leq [n/2]$. That is, $(n-1)$-connected 2n-manifolds and $(n-1)$-connec…') |
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| − | An $n$-manifold $M$ is called highly connected if the homotopy groups $\pi_i(M)$ vanish for $i | + | 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. | This category contains pages about highly connected manifolds, as just defined. | ||
</wikitex> | </wikitex> | ||
[[Category:Manifolds]] | [[Category:Manifolds]] | ||
Latest revision as of 18:25, 10 June 2010
An 
-manifold 
is called highly connected if the homotopy groups 
vanish for ![i < [n/2]](/images/math/8/7/4/874a3b325de2c51cadeaff5b362ac67c.png)
. That is, 
-connected 2n-manifolds and -connected 
-manifolds are highly connected.
This category contains pages about highly connected manifolds, as just defined.
Pages in category "Highly-connected manifolds"
The following 3 pages are in this category, out of 3 total.
