I would like to thank the organizers of the UNISA Topology Workshop, Koena Rufus Nailana and Sergio Salbany, for doing an excellent job acquiring funding, making arrangements, and especially for assembling an enthusiastic group of participants. An ordered topological space (X, τ,≤) is a set X with a topology τ and a partial order ≤. We usually assume some forms of compatibility between the topo...

Given a topological Ramsey space (R,≤, r), we extend the notion of semiselective coideal to sets H ⊆ R and study conditions for H that will enable us to make the structure (R,H,≤, r) a Ramsey space (not necessarily topological) and also study forcing notions related to H which will satisfy abstract versions of interesting properties of the corresponding forcing notions in the realm of Ellentuck...

let s be a semigroup. in certain cases we give some characterizations of extreme amenability of s and we show that in these cases extreme left amenability and extreme right amenability of s are equivalent. also when s is a compact topological semigroup, we characterize extremely left amenable subalgebras of c(s), where c(s) is the space of all continuous bounded real valued functions on s