Korean Journal of Mathematics
- Volume 5 Issue 2
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- Pages.107-112
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- 1997
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
THE EQUIVALENCE OF TWO ALGEBARAIC K-THEORIES
- Song, Yongjin (Department of mathematics Inha University)
- Received : 1997.01.21
- Published : 1997.09.30
Abstract
For a ring R with 1, the higher K-theory of Quillen is defined by the higher homotopy groups of the plus construction of the general linear group of R. On the other hand, the Volodin K-theory is defined by the higher homotopy groups of the Volodin space. In this paper we show that these two K-theories are equivalent. We show that the Volodin space is a homotopy fiber of the acyclic map from BGL(R) to its plus construction.