Corpus ID: 119146922

Grothendieck topologies on posets

@article{Hemelaer2018GrothendieckTO,
  title={Grothendieck topologies on posets},
  author={Jens Hemelaer},
  journal={arXiv: Category Theory},
  year={2018}
}
Lindenhovius has studied Grothendieck topologies on posets and has given a complete classification in the case that the poset is Artinian. We extend his approach to more general posets, by translating known results in locale and domain theory to the study of Grothendieck topologies. In particular, explicit descriptions are given for the family of Grothendieck topologies with enough points and the family of Grothendieck topologies of finite type. As an application, we compute the cardinalities… Expand

References

SHOWING 1-10 OF 19 REFERENCES
Grothendieck topologies on a poset
Points in the fppf topology
POINTS IN THE FPPF TOPOLOGY
Azumaya toposes
Points in algebraic geometry
Azumaya representation schemes
D-completions and the d-topology
Prime ideal structure in commutative rings
Continuous Lattices and Domains
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