Steiner's theorem (geometry): Difference between revisions

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In mathematics, given a [[ring (mathematics)|ring]] ''R'', the '''K-theory spectrum''' of ''R'' is an [[Ω-spectrum]] <math>K_R</math> whose ''n''-th term is given by, writing <math>\Sigma R</math> for the [[suspension of a ring|suspension]] of ''R'',
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:<math>(K_R)_n = K_0(\Sigma^n R) \times BGL(\Sigma^n R)^+</math>,
where "+" means the Quillen's [[+ construction]].<ref>Dominique Arlettaz, Algebraic K-theory of rings from a topological view point [http://www.math.uiuc.edu/K-theory/0420/]</ref> By definition, <math>K_i(R) = \pi_i(K_R)</math>.
 
== References ==
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Latest revision as of 06:33, 21 September 2014

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