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

collaborators

Showing 2021Show all

2 papers · 1 filter

math.GN2021★ 6 cited

Free Quasitopological Groups

Jeremy Brazas, Sarah Emery

In this paper, we study the topological structure of a universal construction related to quasitopological groups: the free quasitopological group $F_{q} (X)$ on a space $X$ . We show t…

math.AT2021★ 1 cited

Sequential $n$ -connectedness and infinite factorization in higher homotopy groups

Jeremy Brazas

A space $X$ is "sequentially $n$ -connected" at $x \in X$ if for every $0 \leq k \leq n$ and sequence of maps $f_{1}, f_{2}, f_{3}, \dots : S^{k} \to X$ that converges toward a point $x \in X$ , the m…

Free Quasitopological Groups

Sequential n-connectedness and infinite factorization in higher homotopy groups

Sequential $n$ -connectedness and infinite factorization in higher homotopy groups