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 2018Show all

2 papers · 1 filter

math.AT2018★ 2 cited

On the discontinuity of the $π_{1}$ -action

Jeremy Brazas

We show the classical $π_{1}$ -action on the $n$ -th homotopy group can fail to be continuous for any $n$ when the homotopy groups are equipped with the natural quotient topology. In p…

math.GN2018

Realizing spaces as path-component spaces

Taras Banakh, Jeremy Brazas

The path component space of a topological space $X$ is the quotient space $π_{0} (X)$ whose points are the path components of $X$ . We show that every Tychonoff space $X$ is the path-c…

On the discontinuity of the π1​-action

Realizing spaces as path-component spaces

On the discontinuity of the $π_{1}$ -action