Peter J. Haine

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20242026

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math.CT2026

Classifying anima of condensed $\infty$ -categories of points

Peter J. Haine

We compare the classifying anima of two natural condensed $\infty$ -categories associated to a coherent $\infty$ -topos. One from our work with Barwick and Glasman on exit-path categ…

math.CT2025

Standard $t$ -structures

Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier

We provide a general construction of induced $t$ -structures, that generalizes standard $t$ -structures for $\infty$ -categories of sheaves. More precisely, given a presentable $\inft…

math.CT2025

Fully faithful functors and pushouts of $\infty$ -categories

Peter J. Haine, Maxime Ramzi, Jan Steinebrunner

We study stability properties of fully faithful functors, and compute mapping anima in pushouts of $\infty$ -categories along fully faithful functors. We provide applications of the…

Classifying anima of condensed ∞-categories of points

Standard t-structures

Fully faithful functors and pushouts of ∞-categories

Classifying anima of condensed $\infty$ -categories of points

Standard $t$ -structures

Fully faithful functors and pushouts of $\infty$ -categories