Tag Archives: chain

Arcs and arc chains

Jimmie Lawson had presented some results about chains in partially ordered spaces at the ISDT conference in 2022, which I wanted to talk about. But this requires Koch’s arc theorem, so I decided to talk about the latter first. That … Continue reading

Posted in Uncategorized | Tagged , , | Comments Off on Arcs and arc chains

Chains and nested spaces

A chain is a totally ordered poset, and a nested space is a topological space whose lattice of open sets is a chain. That may seem like a curious notion, although you might say that the Scott topology on the … Continue reading

Posted in Uncategorized | Tagged , , , , | Comments Off on Chains and nested spaces