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