Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of “homotopy” where they play a key role in organizing hierarchies of higher homotopies. Significant examples first appeared in the sixties though the formal definition […]
This work shows how the concepts of manifold theory can be used to describe the physical world. The concepts of modern differential geometry are presented in this comprehensive study of classical mechanics, field theory, and simple quantum effects.
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