In this paper,we mainly prove that every n-dimensional Lip microbundle over a locally finite simplicial complex is micro-identical to a Lip-S^n(R^n)-bundle,and any two such are micro-identical,isomorphic S^n(R^n)-bund...In this paper,we mainly prove that every n-dimensional Lip microbundle over a locally finite simplicial complex is micro-identical to a Lip-S^n(R^n)-bundle,and any two such are micro-identical,isomorphic S^n(R^n)-bundles.展开更多
<正> 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...<正> 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-hand locally flat embedded into S2n-h-1(0≤h≤2k), and some of its applications are given.展开更多
基金the National Natural Science Foundation of China.
文摘In this paper,we mainly prove that every n-dimensional Lip microbundle over a locally finite simplicial complex is micro-identical to a Lip-S^n(R^n)-bundle,and any two such are micro-identical,isomorphic S^n(R^n)-bundles.
基金Project supported by the National Natural Science Foundation of China.
文摘<正> 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-hand locally flat embedded into S2n-h-1(0≤h≤2k), and some of its applications are given.