A condensed proof of the pro-étale exodromy theorem yields a new étale exodromy theorem for Postnikov-complete sheaves and a new proof of the constructible étale exodromy, removing qcqs assumptions and extending to general ∞-categories and κ-condensed statements.
Pyknotic objects, I. Basic notions
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abstract
Pyknotic objects are (hyper)sheaves on the site of compacta. These provide a convenient way to do algebra and homotopy theory with additional topological information present. This appears, for example, when trying to contemplate the derived category of a local field. In this article, we present the basic theory of pyknotic objects, with a view to describing a simple set of everyday examples.
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2026 2verdicts
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Lecture notes introducing condensed mathematics as a framework for topology in algebraic and analytic settings.
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A condensed proof of the pro-\'etale and \'etale exodromy theorems
A condensed proof of the pro-étale exodromy theorem yields a new étale exodromy theorem for Postnikov-complete sheaves and a new proof of the constructible étale exodromy, removing qcqs assumptions and extending to general ∞-categories and κ-condensed statements.
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Lectures on Condensed Mathematics
Lecture notes introducing condensed mathematics as a framework for topology in algebraic and analytic settings.