On basic concepts of non-commutative topology
On best simultaneous approximation.
On generalized games in -spaces
We show that a recent existence result for the Nash equilibria of generalized games with strategy sets in -spaces is false. We prove that it becomes true if we assume, in addition, that the feasible set of the game (the set of all feasible multistrategies) is closed.
On pushing out frames
On strongly preirresolute topological vector spaces
In the paper we obtain several characteristics of pre- of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space lies on the boundary.
On the External Characterization of Topological Functors.
On the self-similar Jordan arcs admitting structure parametrization.
On the sequential order
On topologies of free groups
Ovals and non-ovoidal Laguerre planes.
Polars in distributive lattices with the smallest element
Pure measures
Radical ideals and coherent frames
It follows from Stone Duality that Hochster's results on the relation between spectral spaces and prime spectra of rings translate into analogous, formally stronger results concerning coherent frames and frames of radical ideals of rings. Here, we show that the latter can actually be obtained without Stone Duality, proving them in Zermelo-Fraenkel set theory and thereby sharpening the original results of Hochster.
Rechtsdibrutive Quasigruppen auf 1-Mannigfaltigkeiten.
Regulators of type of lattice ordered groups
Representations of commutative semigroups by products of metric -dimensional spaces
Semi-quotient mappings and spaces
In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.
Some properties of -dimensional generalized cubes
and separation axioms between and .
Statistical linear spaces. I. Properties of , -topology