Shicheng Wang

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4 papers · 1 filter

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…

math.GT2004

3-manifolds that admit knotted solenoids as attractors

Boju Jiang, Yi Ni, Shicheng Wang

Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a kno…

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

3-manifolds that admit knotted solenoids as attractors

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