33 citations · 33 across the 6 of their papers we have counts for
8 papers
A Pythagorean Theorem for Volume
Fredric D. Ancel
Lebesgue measurable subsets A and B of parallel or identical k-dimensional affine subspaces of Euclidean n-space E^n satisfy The Product Formula for Volume: Vol_k(A)Vol_k(B) = \sum…
Semi-isotopic knots
Fredric D. Ancel
A is a possibly wild simple closed curve in . A knot is to a knot if there is an annulus in such that $A\…
On the isometrization of groups of homeomorphisms
Fredric D. Ancel
Let be a group of homeomorphisms of a topological space . is if there exists a -invariant (proper) gauge structure on . is…
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…
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…
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 to a circle via a map with the property that th…
On homogeneous locally conical spaces
Fredric D. Ancel, David P. Bellamy
The main result of this article is: THEOREM. Every homogeneous locally conical connected separable metric space that is not a -manifold is strongly -homogeneous for each $n \…
Is a monotone union of contractible open sets contractible?
Fredric D. Ancel, Robert D. Edwards
This paper presents some partial answers to the following question. QUESTION. If a normal space X is the union of an increasing sequence of open sets U(1), U(2), U(3) ... such that…