P. Bankston         A Framework for Characterising Topological Spaces

We present a framework for talking about whether or not a given topological space is characterisable within a class of its “peers,” using sentences of first order logic. For example, it has long been known that the arc may be characterised within the peer class of metric spaces using a single first order sentence that holds for its bounded lattice of closed sets. In our talk we discuss some variations on this theme.