Compact connected semilattices without the fixed point property.
Compact covering mappings and cofinal families of compact subsets of a Borel set
Among other results we prove that the topological statement “Any compact covering mapping between two Π⁰₃ spaces is inductively perfect” is equivalent to the set-theoretical statement ""; and that the statement “Any compact covering mapping between two coanalytic spaces is inductively perfect” is equivalent to “Analytic Determinacy”. We also prove that these statements are connected to some regularity properties of coanalytic cofinal sets in (X), the hyperspace of all compact subsets of a Borel...
Compact covering mappings between Borel ѕpaces
Compact C-spaces and S-spaces
Compact discrete flows
Compact groups of automorphisms of von Neumann algebras.
Compact Hausdorff spaces with two open sets
Compact Hausdorff spaces with two open sets
Compact Hausdorff spaces with two or three types of open subspaces:new results and open questions
Compact images of spaces with a weaker metric topology
If is a space that can be mapped onto a metric space by a one-to-one mapping, then is said to have a weaker metric topology. In this paper, we give characterizations of sequence-covering compact images and sequentially-quotient compact images of spaces with a weaker metric topology. The main results are that (1) is a sequence-covering compact image of a space with a weaker metric topology if and only if has a sequence of point-finite -covers such that for each . (2) is a sequentially-quotient...
Compact metric spaces have binary bases
Compact minimalization of inverse systems
Compact objects surjectivity of epimorphisms and compactifications
Compact Orbit-Decomposition acts.
Compact pospaces
Posets with property DINT which are compact pospaces with respect to the interval topologies are characterized.
Compact Pseudo-Convergences.
Compact scattered spaces in forcing extensions
We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models of in which no such space can have ℵ₂ countable levels.
Compact sets without converging sequences in the random real model.
Compact spaces homeomorphic to a ray of ordinals
Compact spaces that do not map onto finite products
We provide examples of nonseparable compact spaces with the property that any continuous image which is homeomorphic to a finite product of spaces has a maximal prescribed number of nonseparable factors.