activity
20072021
most citedRips complexes and covers in the uniform category

11 citations · 20 across the 9 of their papers we have counts for

collaborators

10 papers

math.GM2021★ 1 cited

Uniformly joinable, locally uniformly joinable, and weakly chained uniform spaces

Brendon LaBuz

Brodskiy, Dydak, LaBuz, and Mitra introduced the concepts of uniform joinability and local uniform joinability for uniform spaces when developing their theory of generalized unifor…

math.GR2014

Big free groups acting on -trees

Brendon LaBuz

The set of homotopy classes of based paths in the Hawaiian earring has a natural -tree structure, but under that metric the action by the fundamental group is not by iso…

math.MG2013★ 3 cited

Sequential ends of metric spaces

Michael DeLyser, Brendon LaBuz, Michel Tobash

We develop an analog to the ends of a metric space for the category of coarse metric spaces and show that it is equivalent to a previously defined coarse invariant.

math.GN2011★ 4 cited

A coarse invariant for all metric spaces

Michael DeLyser, Brendon LaBuz, Benjamin Wetsell

"An invariant of metric spaces under bornologous equivalences" gives an invariant and "A coarse invariant" extends the invariant to coarse equivalences. In both papers the invarian…

math.MG2011

A coarse invariant

Addison Fox, Brendon LaBuz, Robert Laskowsky

This note extends the invariant defined in "An invariant of metric spaces under bornologous equivalences" to the coarse category.

math.GT2011

A new version of homotopical Hausdorff

B. LaBuz

It is known that shape injectivity implies homotopical Hausdorff and that the converse does not hold, even if the space is required to be a Peano continuum. This paper gives an alt…