Quotient Hoops Induced by Quasi-Valuation Maps

Quotient BCI-algebras induced by pseudo-valuations

In this paper, we study pseudo-valuations on a BCI-algebra and obtain some related results. The relation between pseudo-valuations and ideals is investigated. We use a pseudo-metric induced by a pseudovaluation to introduce a congruence relation on a BCI-algebra. We define the quotient algebra induced by this relation and prove that it is also a BCI-algebra and study its properties.

Relative Compactness and Product Stable Quotient Maps

Hoops News

T hink philosophically for a moment: As sports medicine clinicians, what is our most important function? Some might say diagnosing illnesses. That's a hard one to argue, especially when it comes to cardiac conditions and the risk of sudden death. Others might focus on rehabilitation and training—no doubt major components of what we do. Many of us focus on injury prevention: keeping athletes on ...

relative compactness and product stable quotient maps

Generalized tri-quotient maps and Čech-completeness

For a topological space X let K(X) be the set of all compact subsets of X. The purpose of this paper is to characterize Lindelöf Čech-complete spaces X by means of the sets K(X). Similar characterizations also hold for Lindelöf locally compact X, as well as for countably K-determined spaces X. Our results extend a classical result of J. Christensen.