TOPOLOGICAL EMBEDDINGS OF TOPOLOGICAL MANIFOLDS INTO SOME EUCLIDEAN SPACES

摘要

This paper discusses a question about topological embeddings of topological manifolds. A sufficient condition is obtained that a k-connected compact topological nmanifold with （k-1）-connected boundary can be locally flat, neatly embedded into D2n-h and locally flat embedded into S2n-h-1（0≤h≤2k）, and some of its applications are given.