Collectionwise Hausdorff property in product spaces
Compact minimalization of inverse systems
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.
Compact-covering numbers
Compactifications, and ring epimorphisms.
Compactifying a convergence space with functions.
Compact-like properties in hyperspaces
Compactness of Powers of ω
We characterize exactly the compactness properties of the product of κ copies of the space ω with the discrete topology. The characterization involves uniform ultrafilters, infinitary languages, and the existence of nonstandard elements in elementary extensions. We also have results involving products of possibly uncountable regular cardinals.
Compactness type properties in topological groups
Completely normal locales
Completely regular modification and products
Completely regular spaces
We conduct an investigation of the relationships which exist between various generalizations of complete regularity in the setting of merotopic spaces, with particular attention to filter spaces such as Cauchy spaces and convergence spaces. Our primary contribution consists in the presentation of several counterexamples establishing the divergence of various such generalizations of complete regularity. We give examples of: (1) a contigual zero space which is not weakly regular and is not a Cauchy...
Completion and closure
Completion as reflection
Completion functors for Cauchy spaces.
Completion of a Cauchy space without the -restriction on the space.
Completions in biaffine sets.
Composant-like decompositions
The body of this paper falls into two independent sections. The first deals with the existence of cross-sections in -decompositions. The second deals with the extensions of the results on accessibility in the plane.
Concerning a certain -algebra in compact Hausdorff spaces
Concerning decompositions of continua