First note that all steps of the construction are functorial
Their theory supplements the recent work of Asgari-Shahidi on the functorial
life from (split and quasisplit forms of) GSpin2n to GL2n.
The aim of this short note is to indicate a functorial
construction of a locally compact group [Y.
For example, the construction is not functorial
so that we cannot embed the quantum cohomology of a partial flag manifold inside the quantum cohomology of the complete flag manifold.
Among the topics are a categorical perspective on connections with applications in formulating functorial
physical dynamics, something new about reconstruction, graph analysis with application to economics, a model of higher-order concurrent programs based on graph rewriting, and protecting the vertices of a graph.
The Rubato Composer music software: component-based implementation of a functorial
The previous definition should make the functorial
properties of [sup.
It is a sort of a dimension category, where the role of functorial
maps is played by C-space transformations which reshuffles a p-brane history for a p'-brane history or a mixture of all of them, for example.
The new concept --to be called homological or functorial
representation-- is a genuine generalization of the received notion of representation as a structure preserving map as it is used, for example, in the representational theory of measurement.
We have used [s, t] as notation for [cross product]-pairs, reserving f [cross product] g for the functorial
action of [cross product], where
Moreover, the transgression forms for this family also converge and provide a canonical and functorial
coboundary between [c.
Nourani presents readers with comprehensive guide to new techniques with functorial
models designed to address important areas of both pure mathematics and computability theory from the algebraic point of view.