On Noetherian Spaces

@article{GoubaultLarrecq2007OnNS,
  title={On Noetherian Spaces},
  author={Jean Goubault-Larrecq},
  journal={22nd Annual IEEE Symposium on Logic in Computer Science (LICS 2007)},
  year={2007},
  pages={453-462}
}
A topological space is Noetherian iff every open is compact. Our starting point is that this notion generalizes that of well-quasi order, in the sense that an Alexandroff-discrete space is Noetherian iff its specialization quasi-ordering is well. For more general spaces, this opens the way to verifying infinite transition systems based on non-well quasi ordered sets, but where the preimage operator satisfies an additional continuity assumption. The technical development rests heavily on… CONTINUE READING

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