Some Results on Topological Neighbourhoods
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چکیده
Full proofs of results announced here are to be found in [lO]. We consider the problem of classifying germs of neighbourhoods of locally flat topological submanifolds. Let M be a fixed topological manifold. An r-neighbourhood of M is a pair (i, N) where N is a topological manifold of dimension n+r and i:M—*N a locally flat embedding satisfying i^ÇdN) —dM. Denote the set of germs of r-neighbourhoods (i.e. equivalence classes under homeomorphism defined near i(M) and fixing M) by 9l r(M).
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