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- Simply_connected_at_infinity abstract "In topology, a branch of mathematics, a topological space X is said to be simply connected at infinity if for all compact subsets C of X, there is a compact set D in X containing C so that the induced map is trivial. Intuitively, this is the property that loops far away from a small subspace of X can be collapsed, no matter how bad the small subspace is.The Whitehead manifold is an example of a 3-manifold that is contractible but not simply connected at infinity. Since this property is invariant under homeomorphism, this proves that the Whitehead manifold is not homeomorphic to R3. However, it is a theorem of John R. Stallings that for , a contractible n-manifold is homeomorphic to Rn precisely when it is simply connected at infinity.".
- Simply_connected_at_infinity wikiPageID "17208553".
- Simply_connected_at_infinity wikiPageRevisionID "573449541".
- Simply_connected_at_infinity hasPhotoCollection Simply_connected_at_infinity.
- Simply_connected_at_infinity subject Category:Algebraic_topology.
- Simply_connected_at_infinity subject Category:Properties_of_topological_spaces.
- Simply_connected_at_infinity type Abstraction100002137.
- Simply_connected_at_infinity type Possession100032613.
- Simply_connected_at_infinity type PropertiesOfTopologicalSpaces.
- Simply_connected_at_infinity type Property113244109.
- Simply_connected_at_infinity type Relation100031921.
- Simply_connected_at_infinity comment "In topology, a branch of mathematics, a topological space X is said to be simply connected at infinity if for all compact subsets C of X, there is a compact set D in X containing C so that the induced map is trivial. Intuitively, this is the property that loops far away from a small subspace of X can be collapsed, no matter how bad the small subspace is.The Whitehead manifold is an example of a 3-manifold that is contractible but not simply connected at infinity.".
- Simply_connected_at_infinity label "Simply connected at infinity".
- Simply_connected_at_infinity sameAs m.043lp1t.
- Simply_connected_at_infinity sameAs Q7521034.
- Simply_connected_at_infinity sameAs Q7521034.
- Simply_connected_at_infinity sameAs Simply_connected_at_infinity.
- Simply_connected_at_infinity wasDerivedFrom Simply_connected_at_infinity?oldid=573449541.
- Simply_connected_at_infinity isPrimaryTopicOf Simply_connected_at_infinity.