Non-Hausdorff Topology and Domain Theory
Electronic supplements to the book
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Addenda
Countability
Counterexamples
Domains and orders
Equilogical spaces
Filters
Locales, sublocales, nuclei
Models of topological spaces
Noetherian spaces and variants
Powerdomains and hyperspaces
Projective limits
Quasi-Polish spaces
Quasicontinuity, Locally Finitary Compact Spaces
Quasi-uniform spaces
Well-filteredness
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Another form of Stone duality
Bernstein subsets of R
Domains XII
Forbidden substructures
Integration
Pointwise directed families of maps
Shimrat’s theorem
Sober subspaces and the Skula topology
Some new, easy facts on consonant spaces
The Dolecki-Greco-Lechicki Theorem
The Rasiowa-Sikorski lemma and the Baire property
Borel sets, analytic sets, and the Baire property
TD spaces
Chains and nested spaces
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
—
Jean Goubault-Larrecq
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