G. Arone

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math.AT2025

Intrinsic convergence of the homological Taylor tower for $r$ -immersions in $R^{n}$

Gregory Arone, Franjo Sarcevic

For an integer $r \geq 2$ , the space of $r$ -immersions of $M$ in $R^{n}$ is defined to be the space of immersions of $M$ in $R^{n}$ such that at most $r - 1$ points of $M$ are mapped to…

math.AT2025

The spectrum of excisive functors

Gregory Arone, Tobias Barthel, Drew Heard +1

We prove a thick subcategory theorem for the category of $d$ -excisive functors from finite spectra to spectra. This generalizes the Hopkins-Smith thick subcategory theorem (the $d=…

math.AT2024

The space of $r$ -immersions of a union of discs in $R^{n}$

Gregory Arone, Franjo Sarcevic

For a manifold $M$ and an integer $r > 1$ , the space of $r$ -immersions of $M$ in $R^{n}$ is defined to be the space of immersions of $M$ in $R^{n}$ such that the preimage…

Intrinsic convergence of the homological Taylor tower for r-immersions in Rn

The spectrum of excisive functors

The space of r-immersions of a union of discs in Rn

Intrinsic convergence of the homological Taylor tower for $r$ -immersions in $R^{n}$

The space of $r$ -immersions of a union of discs in $R^{n}$