If R is a relation on X to Y, U is a relation on P (X) to Y, and V is a relation on P (X) to P (Y),
then we say that R is an ordinary relation, U is a super relation, and V is a hyper relation on …

'The book is well written, and there is a welcome breadth in the choice of topics. I think this
book is a valuable resource. Students who meticulously work through all the problems in the …

A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets
can be produced by repeatedly applying the operations of closure and complement to a …

If X is a topological space and A⊆ X, then the number of distinct sets that can be obtained
from A by using all possible compositions for operators iγ, cγ (where γ= σ, π, α, β) introduced …

The question as to the number of sets obtainable from a given subset of a topological space
using the operators derived by composing members of the set {b, i,∨,∧}, where b, i,∨ …

In a recent paper (Cf.[19]), we have presented the definitions and the essential properties of
the generalized topological operators g-Int_g, g-Cl_g: P (Ω)−→ P (Ω)(g-T_g-interior and g …

In a topological space (X, T)(X, T) at most 7 distinct sets can be constructed from a set A ∈
2^ XA∈ 2 X by successive applications of the closure and interior operation in any order. If …

A famous theorem of Kuratowski states that, in a topological space, at most 14 distinct sets
can be produced by repeatedly applying the operations of closure and complement to a …

Monoids generated by elements of order two appear in numerous places in the literature.
For example, Coxeter reflection groups in geometry, Kuratowski monoids in topology …

Apart from linear algebra it is hard to think of a subject that plays a broader foundational role
in theoretical mathematics than general topology: most mathematicians use the concepts of …