A conglomerate of exponential supercategories of the category of finitely generated topological spaces.
A conglomerate of exponential supercategories of the category of finitely generated topological spaces. (Summary).
On a construct of closure spaces
Relations and topologies
Cardinal arithmetic of general relational systems
Representative properties of the quasi-ordered set
On the axioms preserved by modifications of topologies without axioms
On modifications of topologies without axioms
On relations
On strong regularity of relations
There exists a natural extension of the notion of preorder from binary relations onto relations whose arities are arbitrary ordinals. In the article we find a condition under which extended preorders coincide with preorders if viewed categorically.
On lattices of generalized topologies
A note on general relations
On the direct power of relational systems
On exponentiation on n-ary hyperalgebras
For n-ary hyperalgebras we study a binary operation of exponentiation which to a given pair of n-ary hyperalgebras assigns their power, i.e., an n-ary hyperalgebra carried by the corresponding set of homomorphisms. We give sufficient conditions for the existence of such a power and for a decent behaviour of the exponentiation. As a consequence of our investigations we discover a cartesian closed subcategory of the category of n-ary hyperalgebras and homomorphisms between them.
Categories of locally diagonal partial algebras.
Cartesian closedness in categories of partial algebras.
Exponentiality in categories of partial algebras.
Exponentiation of relational systems with respect to strong homomorphisms.
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