Non-Hausdorff Topology and Domain Theory
Electronic supplements to the book
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  • About Me
  • Addenda
    • Consonance
    • 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
    • Streams, prestreams, and d-spaces
    • Topological functors
    • Topological semilattices
    • Well-filteredness
    • ————————————
    • Another form of Stone duality
    • Bernstein subsets of R
    • Bitopological spaces and stable compactness
    • Borel sets, analytic sets, and the Baire property
    • Chains and nested spaces
    • Domains XII
    • Forbidden substructures
    • Integration
    • Irredundant families, the Smyth powerdomain, the Lyu-Jia theorem, and the baby Groemer theorem
    • Pointwise directed families of maps
    • Shimrat’s theorem
    • Sober subspaces and the Skula topology
    • TD spaces
    • The Rasiowa-Sikorski lemma and the Baire property
    • Weakly Hausdorff spaces, and locally strongly sober spaces
  • Errata
  • Course Ideas
  • Open Problems
  • Puzzles

Consonance

Here is the list of posts on places where countability matters in topology, so far:

  1. The Dolecki-Greco-Lechicki theorem
  2. Some new, easy facts on consonant spaces
  3. The Sorgenfrey line is not consonant
  4. Q is not consonant: the Costantini-Watson argument
  5. Strongly compact sets and the double hyperspace construction
  6. On Till Plewe’s game and Matthew de Brecht’s non-consonance arguments
  7. Localic products and Till Plewe’s game
jgl-2011

— Jean Goubault-Larrecq

  • Recent Posts

    • We’ve moved!
    • Compact semilattices without small semilattices II: Gierz’s counterexample
    • Compact semilattices without small semilattices I: interval homomorphisms, products, and the Hoare hyperspace
    • Scott’s formula
    • The fundamental theorem of compact semilattices
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