We begin the development of a theory of Banach spaces in the definable setting of o-minimal structures. We outline several results which develop the theory of compact embeddings for explicitly given function spaces. One aim is to explain the substantive underpinnings of an important observation used in the proof of the Reparameterization Theorem of Pila and Wilkie in [2]. We place this observat...

CREDIT is generally given to Taggart1 for introducing the cast gold inlay to the dental profession. Although he realized that gold shrinks when cooled from molten state to solid state of room temperature, the investment available to him did not supply sufficient compensation. In 1910, Van Horn2 published a paper dealing with a method by which he obtained the compensation by means of wax expansi...

A conceptual model is presented which integrates and extends insights from relational exchange theory (RET) and value exchange model (VEM) to discuss the efficacy of relational governance and valuecreating relational investments (VcRIs) to affect certain revenue-enhancing (relational) behaviours (ReBs). It is postulated that value-creating relational investments (VcRIs) made in a highly relatio...