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Atom in a topos

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Category theory Elementary topos
2026-10-06  0 By others on same topic  0 Discussions Create my own version
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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  1. Elementary topos
  2. Category theory
  3. Foundations of mathematics
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  5. Mathematics
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 20 / 5 / Solution
  • Primitive decomposition of an atomic finite-surjection sheaf

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