On lattices whose lattices of congruences are Stone lattice
On lattices with isomorphic interval lattices
On Lattices with Möbius Function ±1, 0.
On lattice-topological properties of general Wallman spaces.
On -algebraic closures of -compact elements
On -joint distribution
On midpoints in lattices
On modular set functions and measures
On M-operators of q-lattices
It is well known that every complete lattice can be considered as a complete lattice of closed sets with respect to appropriate closure operator. The theory of q-lattices as a natural generalization of lattices gives rise to a question whether a similar statement is true in the case of q-lattices. In the paper the so-called M-operators are introduced and it is shown that complete q-lattices are q-lattices of closed sets with respect to M-operators.
On -fold implicative filters of lattice implication algebras.
On normal and strongly normal lattices.
On normal lattices and Wallman spaces.
On normality relation and its generalization on lattices
On -ideals of groups of divisibility
On perspectivities in incidence geometries of grade n
On pseudocomplemented semilattices with Stone congruence lattices
On quasi-uniform space valued semi-continuous functions
F. van Gool [Comment. Math. Univ. Carolin. 33 (1992), 505–523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space . This note provides a purely topological view at the basic ideas of van Gool. The lower semicontinuity of van Gool appears to be just the continuity with respect to the topology generated by the quasi-uniformity , so that many of his preparatory results become consequences of standard topological facts. In particular, when the order...
On radical classes of Abelian linearly ordered groups
On Raney's theorems for completely distributive complete lattices
On reflexive closed set lattices
For a topological space , let denote the set of all closed subsets in , and let denote the set of all continuous maps . A family is called reflexive if there exists such that for every . Every reflexive family of closed sets in space forms a sub complete lattice of the lattice of all closed sets in . In this paper, we continue to study the reflexive families of closed sets in various types of topological spaces. More necessary and sufficient conditions for certain families of closed...