6 citations · 11 across the 16 of their papers we have counts for
5 papers · 1 filter
A natural pseudometric on homotopy groups of metric spaces
Jeremy Brazas, Paul Fabel
For a path-connected metric space , the -th homotopy group inherits a natural pseudometric from the -th iterated loop space with the uniform metric. This pseu…
Fundamental groups of reduced suspensions are locally free
Jeremy Brazas, Patrick Gillespie
In this paper, we analyze the fundamental group of the reduced suspension where is an arbitrary based Hausdorff space. We show that $π_1(ΣX,…
A simply connected universal fibration with unique path lifting over a Peano continuum with non-simply connected universal covering space
Jeremy Brazas, Hanspeter Fischer
We present a 2-dimensional Peano continuum with the following properties: (1) There is a universal covering projection $q:\overline{\mathbb{T}}\r…
Elements of higher homotopy groups undetectable by polyhedral approximation
John K. Aceti, Jeremy Brazas
When non-trivial local structures are present in a topological space , a common approach to characterizing the isomorphism type of the -th homotopy group is to c…
Homotopy groups of shrinking wedges of non-simply connected CW-complexes
Jeremy Brazas
In this paper, we study the homotopy groups of a shrinking wedge of a sequence of non-simply connected CW-complexes. Using a combination of generalized covering space…