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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

Loyola Marymount University and Loyola Law School

Series

1999

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Finite Type Link Homotopy Invariants, Blake Mellor Jan 1999

Finite Type Link Homotopy Invariants, Blake Mellor

Mathematics, Statistics and Data Science Faculty Works

Bar-Natan used Chinese characters to show that finite type invariants classify string links up to homotopy. In this paper, I construct the correct spaces of chord diagrams and Chinese characters for links up to homotopy. I use these spaces to show that the only rational finite type invariants of link homotopy are the pairwise linking numbers of the components.


Mach’S Principle In A Mixed Newton-Einstein Context, Evert Jan Post, Michael Berg Jan 1999

Mach’S Principle In A Mixed Newton-Einstein Context, Evert Jan Post, Michael Berg

Mathematics, Statistics and Data Science Faculty Works

A closed physical space, in conjunction with scalar versus pseudo scalar distinctions, and an accordingly adapted Gauss theorem, reveal unexpected perspectives on Mach's principle, the mass-energy theorem, and a bonus insight into the nature of the solutions of the Einstein field equations of gravity.