Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 8-12
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Yu. P. Solov'ev. Equivalence of two definitions of the algebraic $K$-theory of spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (1982), pp. 8-12. http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a2/
@article{VMUMM_1982_6_a2,
author = {Yu. P. Solov'ev},
title = {Equivalence of two definitions of the algebraic $K$-theory of spaces},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {8--12},
year = {1982},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a2/}
}
TY - JOUR
AU - Yu. P. Solov'ev
TI - Equivalence of two definitions of the algebraic $K$-theory of spaces
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 8
EP - 12
IS - 6
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a2/
LA - ru
ID - VMUMM_1982_6_a2
ER -
%0 Journal Article
%A Yu. P. Solov'ev
%T Equivalence of two definitions of the algebraic $K$-theory of spaces
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 8-12
%N 6
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_6_a2/
%G ru
%F VMUMM_1982_6_a2
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.