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arXiv · 1904.09966

Pyknotic objects, I. Basic notions

Clark Barwick·Peter Haine
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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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Clark Barwick, Peter Haine. 2019-04-22. Pyknotic objects, I. Basic notions. https://arxiv.org/abs/1904.09966

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