Karoubi-Villamayor 𝐾-theory is not homotopy Quillen theory
Karoubi-Villamayor 𝐾-theory is not homotopy Quillen theory
It is shown that in general the Karoubi-Villamayor group <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper K Superscript negative 2"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>K</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mo>−<!-- − --></mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{K^{ - 2}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is not a homomorphic image of Milnor’s <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …