Fiber orders and compact spaces of uncountable weight
We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.
Finiteness and compactness in chain-net spaces
Folgenkompaktheit und Auswahlaxiom
Fortsetzbarkeit stetiger Abbildungen und Kompaktheitsgrad topologischer Räume.
From a Ramsey-type theorem to indepedence
Function spaces and local properties
Necessary conditions and sufficient conditions are given for to be a (σ-) m₁- or m₃-space. (A space is an m₁-space if each of its points has a closure-preserving local base.) A compact uncountable space K is given with an m₁-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).
Function spaces on -Corson compacta and tightness of polyadic spaces
We apply the general theory of -Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness . In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.
Functional separation of inductive limits and representation of presheaves by sections. Part II. Embedding of presheaves into presheaves of compact spaces
Functional-analytic properties of Corson-compact spaces
Fuzzy inverse compactness.
Fuzzy properties in fuzzy convergence spaces.