A characterization of realcompactness in terms of the topology of pointwise convergence on the function space
A characterization of the -realcompact space
A general realcompactification method
A generalization of -compact spaces
A note on realcompact unions
A note on Rudin's example of Dowker space
About remainders in compactifications of homogeneous spaces
We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space , every remainder of is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.
Almost realcompactness
We provide a new generalization of realcompactness based on ultrafilters of cozero sets and contrast it with almost realcompactness.
Applications of complete families of continuous functions to the theory of -spaces
Approximation of with countable subsets of and calibers of the space
A-realcompact spaces.
Relations between homomorphisms on a real function algebra and different properties (such as being inverse-closed and closed under bounded inversion) are studied.
Buchwalter-Schmets theorems and linear topologies.
Cardinal realcompactness
Characterizing realcompact spaces as limits of approximate polyhedral systems
Realcompact spaces can be characterized as limits of approximate inverse systems of Polish polyhedra.
Collectionwise normality and the extension of functions on product spaces
Complete Spaces and Zero-One Measures.
Concerning almost realcompactifications
Countably evaluating homomorphisms on real function algebras
By studying algebra homomorphisms, which act as point evaluations on each countable subset, we obtain improved results on the question when all algebra homomorphisms are point evaluations.
Eine Charakterisierung K-kompakter topologischer Räume.
Extending Linear Space-Valued Functions.