Backward Limits

Inverse Limits , Economics , and Backward Dynamics

We survey recent papers on the problem of backward dynamics in economics, providing along the way a glimpse at the economics perspective, a discussion of the economic models and mathematical tools involved, and a list of applicable literature in both mathematics and economics. Lı́mites inversos, Economı́a y Dinámica Regresiva Resumen. Examinamos artı́culos recientes sobre el problema de la dinámic...

"Safe Upper Limits" for Nutritional Supplements: One Giant Step Backward

Generalized Covering Groups and Direct Limits

Limits in modified categories of interest

‎We firstly prove the completeness of the category of crossed modules in a modified category of interest‎. ‎Afterwards‎, ‎we define pullback crossed modules and pullback cat objects that are both obtained by pullback diagrams with extra structures on certain arrows‎. ‎These constructions unify many corresponding results for the cases of groups‎, ‎commutative algebras and can also be adapted to ...

Backward Children

Dr. Holmes' contribution to the series edited by Professor O'Shea is "an inductive study of backward children. It presents in a series of concrete illustrations," says Dr. Holmes, "studies of cases to exemplify the principles and methods underlying the diagnosis, treatment and training of backward children." His aim has been to describe the cases "simply, non-technically, and humanly." His succ...