Jeremy Brazas

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20182026

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-connectedness and infinite factorization in higher homotopy groups

1 citations · 1 across the 11 of their papers we have counts for

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math.GN2026

Transfinitely iterated wild sets

Jeremy Brazas, Atish Mitra

In this paper, we study homotopical analogues of the Cantor-Bendixson derivative. For each $n \geq 0$ , the " $π_{n}$ -wild set" $w_{n} (X)$ of a topological space $X$ is the subsp…

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…