Willson Alexander Scott

Scott processes

The Scott process of a relational structure M is the sequence of sets of formulas given by the Scott analysis of M . We present axioms for the class of Scott processes of structures in a relational vocabulary τ , and use them to give a proof of an unpublished theorem of Leo Harrington from the 1970’s, showing that a counterexample to Vaught’s Conjecture has models of cofinally many Scott ranks ...

Scott Wehrwein

The tools for capturing and sharing photos and videos have exploded to the point of ubiquity. Internet photo collections of popular landmarks now contain over a decade’s worth of photographs; thousands of timelapse scenes are available on video sharing websites; live cameras stream real-time videos of many scenes 24 hours a day; high-resolution images of an entire face of the earth are availabl...

Quantale-valued fuzzy Scott topology

The aim of this paper is to extend the truth value table oflattice-valued convergence spaces to a more general case andthen to use it to introduce and study the quantale-valued fuzzy Scotttopology in fuzzy domain theory. Let $(L,*,varepsilon)$ be acommutative unital quantale and let $otimes$ be a binary operationon $L$ which is distributive over nonempty subsets. The quadruple$(L,*,otimes,varep...

Alexander Ogilvy

Alexander M

As a former student of Professor Ostrowski—one of his last— I am delighted to recall here the life and work of one of the great mathematicians of the 20th century. Needless to say that, in view of Ostrowski’s immense and vastly diverse mathematical legacy, this can be done only in a most summary fashion. Further literature on Ostrowski can be found in some of the references at the end of this a...