2 Matching Annotations
  1. Dec 2017
    1. Isomorphism in the context of globalization, is an idea of contemporary national societies that is addressed by the institutionalization of world models constructed and propagated through global cultural and associational processes.
  2. Sep 2016
    1. morphisms,

      From wikipedia:

      morphism: *structure preserving map from one mathematical structure to another

      structure is an aggregate thing -- about the domain not about any one object in the domain.

      In set theory, morphisms are functions; in linear algebra, linear transformations; in group theory, group homomorphisms; in topology, continuous functions

      So, in set-theory functions are structure preserving maps from a set to another.

      In linear algebra, linear transformations are structure preserving maps from ...

      In group theory, group homomorphisms are structure preserving maps from elements of the group (?) to ...

      In Topology, continuous functions are structure preserving maps from one /region/ (?) to another.

      In category theory, morphism is a broadly similar idea, but somewhat more abstract: the mathematical objects involved need not be sets, and the relationship between them may be something more general than a map.