Description of Language |
Description of Language
TANAKA Akio
September 9, 2011
<Preparation>
Manifold M
Cup product map of M 
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 η 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
No comments:
Post a Comment