Non-Hausdorff Topology and Domain Theory

Electronic supplements to the book

Non-Hausdorff Topology and Domain Theory

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  • 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

Counterexamples

A few counterexamples in domain theory and in topology:

  • A core-compact, non locally compact space
  • Isbell’s non sober complete lattice
jgl-2011

— Jean Goubault-Larrecq

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