6 citations · 6 across the 4 of their papers we have counts for
14 papers
Random complexes with free involution
Florian Frick, Andrew Newman
We introduce a new model for random simplicial complexes which with high probability generates a complex that has a simply-connected double cover. Hence we develop a model for rand…
Vertex numbers of simplicial complexes with free abelian fundamental group
Florian Frick, Matt Superdock
We show that the minimum number of vertices of a simplicial complex with fundamental group is at most and at least . For the upper bound, we use…
Coupled embeddability
Florian Frick, Michael Harrison
We introduce the notion of coupled embeddability, defined for maps on products of topological spaces. We use known results for nonsingular biskew and bilinear maps to generate simp…
Spaces of embeddings: Nonsingular bilinear maps, chirality, and their generalizations
Florian Frick, Michael Harrison
Given a space X we study the topology of the space of embeddings of X into through the combinatorics of triangulations of X. We give a simple combinatorial formula f…
What can you draw?
Florian Frick, Fei Peng
We address the problem of which planar sets can be drawn with a pencil and eraser. The pencil draws any union of black open unit disks in the plane . The eraser produ…
Metric Thickenings, Borsuk-Ulam Theorems, and Orbitopes
Henry Adams, Johnathan Bush, Florian Frick
Thickenings of a metric space capture local geometric properties of the space. Here we exhibit applications of lower bounding the topology of thickenings of the circle and more gen…