2 papers
math.GT2023
Smoothing 3-manifolds in 5-manifolds
Michelle Daher, Mark Powell
We show that every locally flat topological embedding of a 3-manifold in a smooth 5-manifold is homotopic, by a small homotopy, to a smooth embedding. We deduce that topologically…
math.GT2019
On Macroscopic dimension of non-spin 4-manifolds
Michelle Daher, Alexander Dranishnikov
We prove that for 4-manifolds with residually finite fundamental group and non-spin universal covering $\Wi M$, the inequality $\dim_{mc}\Wi M\le 3$ implies the inequality $\di…