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Sunday, 13 May 2018

Notes for KARCEVSKIJ Sergej Description of Language 2011


Description of Language

TANAKA Akio
September 9, 2011

<Preparation>
Manifold M
Cup product map of 
Dual map of  
Free Lie algebra that  generates £ (  )
 is identified as the partial space of £(  ) that quadrastic Lie bracket of  generates.
Ideal of £(  ) that Im Ī· generates a 
Holonomy Lie algebra of M 
Completion of holonomy Lie algebra 
<Theorem>
If M has quadrastic homology connection, Malcev completion  becomes isomorphic with holonoly Lie algebra completion  .
<Therorem>
Primary minimum model M(1)of differential manifold M is isomorphic with Malcev completion of  of M's fundamental group.
<Inrterpretation>
For the description of a language model there is a need primary minimum model M(1) of differential manifold M.

This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by The Sekinan Research Field of Language

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