Shicheng Wang

collaborators

3 papers

math.GT2005

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

Michel Boileau, Yi Ni, Shicheng Wang

Let $F^{'}, F$ be any two closed orientable surfaces of genus $g^{'} > g \geq 1$ , and $f : F \to F$ be any pseudo-Anosov map. Then we can "extend" $f$ to be a pseudo-Anosov map $f^{'} : F^{'} \to F^{'}$ so…

math.GT2005

On embedding all $n$ -manifolds into a single $(n + 1)$ -manifold

Fan Ding, Shicheng Wang, Jiangang Yao

For each composite number $n \neq = 2^{k}$ , there does not exist a single connected closed $(n + 1)$ -manifold such that any smooth, simply-connected, closed $n$ -manifold can be topological…

math.GT2005

Embedding infinite cyclic covers of knot spaces into 3-space

Boju Jiang, Yi Ni, Shicheng Wang +1

We say a knot $k$ in the 3-sphere $S^{3}$ has {\it Property $I E$ } if the infinite cyclic cover of the knot exterior embeds into $S^{3}$ . Clearly all fibred knots have P…

Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles

On embedding all n-manifolds into a single (n+1)-manifold

Embedding infinite cyclic covers of knot spaces into 3-space

On embedding all $n$ -manifolds into a single $(n + 1)$ -manifold