A relation between two simplicial algebraic 𝐾-theories

Gersten, S. M.; Rector, D. L.

doi:10.1090/S0002-9904-1971-12712-X

A relation between two simplicial algebraic $K$-theories
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by S. M. Gersten and D. L. Rector PDF

Bull. Amer. Math. Soc. 77 (1971), 397-399

References

H. Bass, A. Heller, and R. G. Swan, The Whitehead group of a polynomial extension, Inst. Hautes Études Sci. Publ. Math. 22 (1964), 61–79. MR 174605, DOI 10.1007/BF02684690
A. K. Bousfield and D. M. Kan, Homotopy with respect to a ring, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Amer. Math. Soc., Providence, R.I., 1971, pp. 59–64. MR 0326734
A. K. Bousfield and D. M. Kan, The homotopy spectral sequence of a space with coefficients in a ring, Topology 11 (1972), 79–106. MR 283801, DOI 10.1016/0040-9383(72)90024-9
S. M. Gersten, $K$-theoretic interpretation of tame symbols on $k(t)$, Bull. Amer. Math. Soc. 76 (1970), 1073–1076. MR 263895, DOI 10.1090/S0002-9904-1970-12566-6
S. M. Gersten, On Mayer-Vietoris functors and algebraic $K$-theory, J. Algebra 18 (1971), 51–88. MR 280570, DOI 10.1016/0021-8693(71)90127-X
S. M. Gersten, On the functor $K_{2}$. I, J. Algebra 17 (1971), 212–237. MR 292910, DOI 10.1016/0021-8693(71)90030-5
Max Karoubi and Orlando Villamayor, Foncteurs $K^{n}$ en algèbre et en topologie, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A416–A419 (French). MR 251717
J. Peter May, Simplicial objects in algebraic topology, Van Nostrand Mathematical Studies, No. 11, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0222892
John Milnor, Algebraic $K$-theory and quadratic forms, Invent. Math. 9 (1969/70), 318–344. MR 260844, DOI 10.1007/BF01425486
A. Nobile and O. E. Villamayor, Sur la $K$-théorie algébrique, Ann. Sci. École Norm. Sup. (4) 1 (1968), 581–616 (French). MR 240172, DOI 10.24033/asens.1172
Richard G. Swan, Nonabelian homological algebra and $K$-theory, Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968) Amer. Math. Soc., Providence, R.I., 1970, pp. 88–123. MR 0257185