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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 6, Pages 8–12 (Mi vmumm3581)  
Mathematics

Equivalence of two definitions of the algebraic $K$-theory of spaces

Yu. P. Solov'ev
Full-text PDF (594 kB) Citations (1)
Abstract: We introduce a new construction of the algebraic $K$-functor $AX$ for any topological space $X$. This construction has the origin in the theory of buildings and BN-pairs. Then we prove the equivalence of this construction and that of Waldhausen.
Received: 04.12.1981
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: Yu. P. Solov'ev, “Equivalence of two definitions of the algebraic $K$-theory of spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6, 8–12
Citation in format AMSBIB
\Bibitem{Sol82}
\by Yu.~P.~Solov'ev
\paper Equivalence of two definitions of the algebraic $K$-theory of spaces
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 6
\pages 8--12
\mathnet{http://mi.mathnet.ru/vmumm3581}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0685256}
\zmath{https://zbmath.org/?q=an:0532.18007}
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