T. Phan

activity

20122021

most citedNil happens. What about Sol?

4 citations · 4 across the 2 of their papers we have counts for

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5 papers · 1 filter

math.GT2021

Fungible obstructions to embedding 2-complexes

Grigori Avramidi, T. Tam Nguyen Phan

We give examples of finite, simplicial $2$ -complexes that do not PL embed in $R^{4}$ and exhibit, for each such complex, a family of PL immersions into $R^{4}$ that h…

math.GT2020

Approximation rigidity and $h$ -principle for Bing spines

Michael Freedman, T. Tam Nguyen Phan

We show that all PL manifolds of dimension $\geq 3$ have spines similar to Bing's house with two rooms. Beyond this we explore approximation rigidity and an $h$ -principle.

math.GT2019

Non-separating immersions of spheres and Bing houses

Michael Freedman, T. Tam Nguyen Phan

We construct Bing houses in all dimensions $n \geq 3$ , obtaining non-separating PL immersions of $S^{n} \to R^{n + 1}$ .

math.GT2019

A remark on $ε$ -maps in dimension 1

T. Tam Nguyen Phan

Let $f : S^{1} \to G$ be a surjective map from the standard unit circle to a graph $G$ such that the pre-image of each point has diameter less than $ε$ .…

math.GT2012

Actions of higher rank, irreducible lattices on $\CAT(0)$ cubical complexes

T. Tam Nguyen Phan

Let $Γ$ be an irreducible lattice of $\Q$-rank $\geq 2$ in a semisimple Lie group of noncompact type. We prove that any action of $Γ$ on a $\CAT(0)$ cubical complex has a global fi…

Fungible obstructions to embedding 2-complexes

Approximation rigidity and h-principle for Bing spines

Non-separating immersions of spheres and Bing houses

A remark on ε-maps in dimension 1

Actions of higher rank, irreducible lattices on $\CAT(0)$ cubical complexes

Approximation rigidity and $h$ -principle for Bing spines

A remark on $ε$ -maps in dimension 1