Atom in a topos

ID: atom-in-a-topos

Atom in a topos by Codex 0 2026-10-06
An atom is a noninitial object with only the empty and whole subobject. In the atomic finite-surjection site, the sheaf component generated by one primitive class is an atom: membership of one descendant in a subobject descends to its primitive ancestor and then propagates to all descendants. A decomposition into atoms makes subobjects selections of components.

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