Non-Hausdorff Topology and Domain Theory

Electronic supplements to the book

Non-Hausdorff Topology and Domain Theory

Main menu

Skip to primary content
  • About Me
  • Addenda
    • Countability
    • Counterexamples
    • Domains and orders
    • Equilogical spaces
    • Filters
    • Locales, sublocales, nuclei
    • Models of topological spaces
    • Powerdomains and hyperspaces
    • Projective limits
    • Quasicontinuity, Locally Finitary Compact Spaces
    • Well-filteredness
    • ————————————
    • A characterization of FAC spaces
    • Another form of Stone duality
    • Bernstein subsets of R
    • Domains XII
    • Forbidden substructures
    • Integration
    • Pointwise directed families of maps
    • Quasi-polish spaces
    • Shimrat’s theorem
    • Sober subspaces and the Skula topology
    • Some new, easy facts on consonant spaces
    • The Dolecki-Greco-Lechicki Theorem
  • Errata
  • Course Ideas
  • Open Problems
  • Puzzles

Locales, sublocales, nuclei

Here is the list of posts on locales, sublocales, and nuclei, so far:

  • Locales, sublocales I
  • Locales, sublocales II: sieves
  • Locales, sublocales III: the frame of nuclei
  • The O functor does not preserve binary products
  • Isbell’s density theorem and intersections of sublocales
  • The locale of random elements of a space
  • Countably presented locales

— Jean Goubault-Larrecqjgl-2011

Proudly powered by WordPress