Open AccessK-theory homology of spaces
Author(s) -
Erik K. Pedersen,
Charles A. Weibel
Publication year - 1989
Publication title -
lecture notes in mathematics
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.545
H-Index - 61
eISSN - 1617-9692
pISSN - 0075-8434
DOI - 10.1007/bfb0085239
Subject(s) - mathematics , homotopy , homology (biology) , homotopy group , pure mathematics , whitehead theorem , algebraic number , algebra over a field , mathematical analysis , biochemistry , chemistry , gene
Let KR be a nonconnective spectrum whose homotopy groups give the algebraic K-theory of the ring R. We give a description of the associated homology theory KR*(X) associated to KR. We also show that the various constructions of KR in the literature are homotopy equivalent, and so give the same homology theory.
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