20630268

9781931233149

Smarandache Multi-Space Theory

Smarandache Multi-Space Theory

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  • ISBN-13: 9781931233149
  • ISBN: 1931233144
  • Publication Date: 2006
  • Publisher: Multimedia Larga

AUTHOR

Mao, Linfan

SUMMARY

A Smarandache multi-space is a union of n various spaces equipped with different structures for an integer n ¡Ý 2, which can be both used for discrete or connected spaces, particularly for geometries and space-times in theoretical physics. This monograph concentrates on characterizing various multi-spaces and includes three parts. The first part is on algebraic multi-spaces, with structures such as those of multi-groups, multi-rings, multi-vector spaces, multi-metric spaces, multi-operation systems and multi-manifolds, also multi-voltage graphs, multi-embedding of a graph in an n-manifold, etc. The second discusses Smarandache geometries, including those of map geometries, planar map geometries, and pseudo-plane geometries, in which the Finsler geometry, particularly the Riemann geometry appears as a special case of the Smarandache geometries. The third part of this book considers applications of multi-spaces to theoretical physics, including relativity theory, M-theory, and cosmology. Multi-space models for p-branes and cosmos are constructed and some questions in cosmology are clarified by multi-spaces. The first two parts are relatively independent for reading and in each part open problems are included for further research of interested readers.Mao, Linfan is the author of 'Smarandache Multi-Space Theory', published 2006 under ISBN 9781931233149 and ISBN 1931233144.

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