A few counterexamples in domain theory and in topology:
- A core-compact, non locally compact space
- Isbell’s non sober complete lattice
- Plotkin’s powerdomain and the hedgehog
- The Sorgenfrey line is not consonant
- Topological lattices and small semilattices (Lawson’s example of a topological lattice that does not have small semilattices)
- Compact scattered subspaces and a topological game (preparing for Costantini and Watson’s proof that Q is not consonant)
- The space S0
- On Till Plewe’s game and Matthew de Brecht’s non-consonance arguments
- Localic products and Till Plewe’s game
