3 papers
math.GT2025
The complex of cuts in a Stone space
Beth Branman, Robert Alonzo Lyman
Stone's representation theorem asserts a duality between Boolean algebras on the one hand and Stone space, which are compact, Hausdorff, and totally disconnected, on the other. Thi…
math.GR2025
When is the Outer Space of a free product CAT(0)?
Robert Alonzo Lyman
Generalizing Culler and Vogtmann's Outer Space for the free group, Guirardel and Levitt construct an Outer Space for a free product of groups. We completely characterize when this…
math.GR2025
Low complexity among principal fully irreducible elements of Out()
Naomi Andrew, Paige Hillen, Robert Alonzo Lyman +1
We find the shortest realized stretch factor for a fully irreducible and show that it is realized by a "principal" fully irreducible element. We also show…