This heteromorphic theory of adjoint functors shows that all adjunctions arise from the birepresentations of the heteromorphisms between the objects of different categories.
A Theory of Adjoint Functors
December 11, 2012 by
Our focus in this paper is to present a theory of adjoint functors, a theory which shows that all adjunctions arise from the birepresentations of “chimera” morphisms or “heteromorphisms” between objects in different categories.
Category Theory and Concrete Universals
December 11, 2012 by
This old paper, published in Erkenntnis, deals with a connection between a relatively recent (1940s and 1950s) field of mathematics, category theory, and a hitherto vague notion of philosophical logic usually associated with Plato, the self-predicative universal or concrete universal.
Concrete Universals in Category Theory
December 11, 2012 by
This old essay deals with a connection between a relatively recent (1940s and 1950s) field of mathematics, category theory, and a hitherto vague notion of philosophical logic usually associated with Plato, the self-predicative universal or concrete universal.
Introduction to Series-Parallel Duality
December 11, 2012 by
This is an introduction to the mathematics of series-parallel duality which shows many unexpected applications.
Mathematics of Real Estate Appraisal
December 11, 2012 by
This paper on the math of real estate appraisal is my most downloaded paper on the SSRN site! Hence I might as well make it available here too. It is a long discourse on the mathematics of compounding and discounting.
Mathematics of Double Entry Bookkeeping
December 11, 2012 by
This is a scan of the first publication in a mathematics journal of the mathematical treatment of double-entry bookkeeping using the group of differences construction.
Double Entry Multidimensional Accounting
December 11, 2012 by
This is a scan of the first journal publication of the mathematical formulation and generalization to vectors of double-entry bookkeeping.
Arbitrage Theory
December 11, 2012 by
This a reprint of an applied math paper connecting the notion of arbitrage and the Lagrange multipliers of mathematical economics. The paper has a simple application showing that a circular gear train (all in the same plane) with an odd number of gears is rigid (cannot move) like the graphic to the left.
World Bank survey paper on migration
December 10, 2012 by
This survey of the literature on migration and development was my last written product before retiring from the World Bank. But the results of years of documented experience is that migration leads to poverty alleviation (remittances) but not development. This is not the message that the Bank wants to hear so the results are largely ignored.