2 4 Se p 20 05 On embedding all n - manifolds into a single ( n + 1 ) - manifold
نویسندگان
چکیده
For each composite number n 6= 2, there does not exist a single connected closed (n + 1)-manifold such that any smooth, simply-connected, closed nmanifold can be topologically flat embedded into it. There is a single connected closed 5-manifold W such that any simply-connected, 4-manifold M can be topologically flat embedded into W if M is either closed and indefinite, or compact and with non-empty boundary.
منابع مشابه
ON EMBEDDING ALL n-MANIFOLDS INTO A SINGLE (n+ 1)-MANIFOLD
For each composite number n = 2k, there does not exist a single connected closed (n + 1)-manifold such that any smooth, simply-connected, closed n-manifold can be topologically flatly embedded into it. There is a single connected closed 5-manifold W such that any simply-connected, 4-manifold M can be topologically flatly embedded into W ifM is either closed and indefinite, or compact and with n...
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