Completion as reflection
Completion functors for Cauchy spaces.
Completion of a Cauchy space without the -restriction on the space.
Completions in biaffine sets.
Concerning a certain -algebra in compact Hausdorff spaces
Connected economically metrizable spaces
A topological space is non-separably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected sequential topological space X is the image of a non-separably connected complete metric space X under a monotone quotient map. The metric of the space X is economical in the sense that for each infinite subspace A ⊂ X the cardinality of the set does not exceed the density of A, . The construction of the space X determines a functor : Top...
Convenient categories for topologists
Correction to my paper: “Tensor products in the category of convergence spaces” [Comment. Math. Univ. Carolin. 13 (1972), 693-709]
Correction to the paper: On linear functorial operators extending pseudometrics
Correction to the paper: Random coincidence degree theory with applications to random differential inclusions
Corrections to the paper “The cartesian closed topological hull of the category of completely regular filterspaces”
Disconnectednesses and closure operators
Disconnectednesses cogenerated by Hausdorff spaces
Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras
We investigate the triples in the category of compacta whose functorial parts are normal functors in the sense of E.V. Shchepin (normal triples). The problem of lifting of functors to the categories of algebras of the normal triples is considered. The distributive law for normal triples is completely described.
Doitchinov's Construct of Supertopological Spaces is Topological
It is shown that the construct of supertopological spaces and continuous maps is topological.
Duality, uniqueness of topology and automatic continuity of *-homomorphisms in bornological locally C*-algebras
Eine Kennzeichnung topologischer Räume durch Vervollständigungen.
Embedding of the category of partially ordered sets into the category of topological spaces category of topological spaces
Embedding ordered topological spaces into topological semilattices.
Epimorphims and cowellpoweredness of epireflective subcategories of Top