Infinite Loop Space Language
Word as Infinite loop Space
TANAKA Akio
1.
Result of D. G. Quillen by Annals of Mathematics, 96 (1972).
Algebraic K theory over commutative ring R.
is classifying space of 
.
Quillen showed that 
is infinite loop space.
is infinite loop space.
2.
Interpretationof Quillen's result.
Meaning of word is expressed by 
.
.
Word is expressed by 
, 
.
, .
Saying in other words.
Word is expressed by high dimensional algebraic K group over commutative ring R.
Conclution at the present.
Word has meaning that is expressed by infinite loop space.
Word has parameter that is expressed by commutative ring.
Word has dimension that belongs to albegraic K group.
Tokyo
6 December 2012
6 December 2012
Sekinan Research Field of Language
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