Friday 26 July 2013

Simplicial Space Language -Composition of Word

Simplicial Space Language


Home Site: ifbetrue
Autor: TANAKA Akio
Theme: Language Universals
Method: Homotopy Theory
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Simplicial Space Language
-Composition of Word

20 January 2013
ifbetrue

1. 
 is topological space.
 is simplicial space.
 is represented by geometric realization of   as the next.
2.
 is topological space.
 is singular simplex.
 is free Abelian group generated by set .
 .
 is singular chain complex of  and has strongly convergence spectral sequence called Atiyah-Hirzebruch spectral sequence.
3.
Interpretation.
Word  is given by geometric realization of simplicial spac .
Meaning unit in word is given by free Abel group .
(Paper end)

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