Mathematics

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

Yu. P. Solov'ev


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.

UDC: 513.83

Received: 04.12.1981

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