Representations of commutative semigroups by products of metric -dimensional spaces
Representations of countable commutative semigroups by products of weakly homogeneous spaces
Separation properties in congruence lattices of lattices
We investigate the congruence lattices of lattices in the varieties . Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in have different congruence lattices.
Simultaneous representations by metric spaces
Some questions of Arhangel'skii on rotoids
A rotoid is a space X with a special point e ∈ X and a homeomorphism F: X² → X² having F(x,x) = (x,e) and F(e,x) = (e,x) for every x ∈ X. If any point of X can be used as the point e, then X is called a strong rotoid. We study some general properties of rotoids and prove that the Sorgenfrey line is a strong rotoid, thereby answering several questions posed by A. V. Arhangel'skii, and we pose further questions.
Stone lattices: a topological approach
The topological Hawaiian earring group does not embed in the inverse limit of free groups.
Topología grassmaniana sobre los ideales cerrados de codimensión finita de un álgebra de Banach conmutativa.
Topological Interpretation of Rough Sets
Rough sets, developed by Pawlak, are an important model of incomplete or partially known information. In this article, which is essentially a continuation of [11], we characterize rough sets in terms of topological closure and interior, as the approximations have the properties of the Kuratowski operators. We decided to merge topological spaces with tolerance approximation spaces. As a testbed for our developed approach, we restated the results of Isomichi [13] (formalized in Mizar in [14]) and...
Topological representations of quasiordered sets.
Topologische Darstellung von Verbänden.
Topology of the space of all -dimensional Lie subalgebras of the Lie algebra
Un'algebra locale reticolata che interviene nella teoria dei sistemi
Zur Konstruktion homogener Kegel.
Булевы -алгебры и квазиоткрытые отображения.
Особенности строения -пополнения архимедовой -группы с сильной единицей
Представления топологических пространств на булевых алгебрах регулярных открытых множеств