Fredric D. Ancel

activity

20182022

most citedRecursively squeezable sets are squeezable

33 citations · 33 across the 4 of their papers we have counts for

collaborators

5 papers

math.GT2022

Semi-isotopic knots

Fredric D. Ancel

A $knot$ is a possibly wild simple closed curve in $S^{3}$ . A knot $J$ is $semi-isotopic$ to a knot $K$ if there is an annulus $A$ in $S^{3} \times [0, 1]$ such that $A\…

math.GN2021

On the isometrization of groups of homeomorphisms

Fredric D. Ancel

Let $G$ be a group of homeomorphisms of a topological space $X$ . $G$ is $(properly) isometrizable$ if there exists a $G$ -invariant (proper) gauge structure on $X$ . $G$ is…

math.GT2020★ 33 cited

Recursively squeezable sets are squeezable

Fredric D. Ancel

In work by Freedman [F2] and Freedman-Quinn [FQ] on the topology of 4-manifolds, null decompositions whose non-singleton elements are, in the terminology of [MOR], recursively star…

math.GT2019

Most unexposed taut one-relator presentation 2-complexes are finitely unsplittable

Fredric D. Ancel, Pete Sparks

The main result of this article is that among the family of one-relator presentation 2-complexes that might be expected to be finitely unsplittable (not the union of two proper sub…

math.GT2018

Generalized dunce hats are not splittable

Fredric Ancel, Pete Sparks

A \emph{generalized dunce hat} is a 2-dimensional polyhedron created by attaching the boundary of a disk $Δ$ to a circle $J$ via a map $f : \partial Δ \to J$ with the property that th…