Jeremy Brazas

activity

20092026

most citedThe fundamental group as a topological group

44 citations · 129 across the 32 of their papers we have counts for

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Showing 2025Show all

4 papers · 1 filter

math.AT2025

Motion Planning on One-Dimensional Peano Continua

Jeremy Brazas, Petar Pavesic

We study the Lusternik-Schnirelmann category and topological complexity of 1-dimensional spaces. We define both invariants as lengths of suitable closed filtrations, as opposed to…

math.AT2025

Nonlocal loss of first homotopy in polyhedral approximations of Peano continua

Jeremy Brazas, Hanspeter Fischer

If a Peano continuum $X$ is semilocally simply connected, then it has a finite polyhedral approximation whose fundamental group is isomorphic to that of $X$ . In general, this fails…

math.AT2025

Higher homotopy wild sets

Jeremy Brazas, Atish Mitra

The $π_{n}$ -wild set $w_{n} (X)$ of a topological space $X$ is the subspace of $X$ consisting of the points at which there exists a shrinking sequence of essential based maps…

math.AT2025

The Čech homotopy groups of a shrinking wedge of spheres

Jeremy Brazas

We compute the Čech homotopy groups of the $m$ -dimensional infinite earring space $E_{m}$ , i.e. a shrinking wedge of $m$ -spheres. In particular, for all $n, m \geq 2$ , we prov…