Algebraic K-Theory Evanston 1980: Proceedings of the by Spencer Bloch (auth.), Eric M. Friedlander, Michael R. Stein

By Spencer Bloch (auth.), Eric M. Friedlander, Michael R. Stein (eds.)

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Extra info for Algebraic K-Theory Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24–27, 1980

Example text

Is that maps must be we d i s c u s s be a non-trivial seminormalj it to the proof of appiications varieties our as~ in main [6]~ spectral Atiyah-Hirzebruch We a r e two able to spectral spectral sharpen (4) lim A(~) to are Ko-regular. of [20, which our These are classical * < 0 denoted K0 Kh i and the In §2 is though lim A(~) may b e In 83 i s §4 we g i v e [20], of the of for 51] show t h a t certain able sequence [9] reducible unions sequence to which K-theory. the rings §3 a p p l i e s in and coincide of these generalize all of of ciassical introduced groups of by comparing also in a number topological We a r e groups devoted KV-theory §3 a n d t h e sequence to the spectral of negative a GL-fibration This KV-theory > 0 sequences A(~).

G has parallel there cannot : R - A(a). all be A to arrows In onto. ~a. I: indexed contravariant the before. the a : is c then cannot the if ~(a) proceed R y A(g), surjections Assumption l(a) that ~ is ~(a) that A(f) A - each a map restrict of lim if Note which - Let G (CRT)~ on is a f i n i t e o r d e r by the p o s e r ~ given by ~. = A is the R/l(a). ~ > 2. ,~%) some ~} of m a x i m a l elements of ~ . 38 We mediate remark elements that ~ so l(a) + I(~) = Al(y). [26, Vol I(a), Remainder the for I, p280] Theorem = CRT.

An n - c e l l HP(~n+I;G) Proposition : ~ ~ N subcategory of o b j e c t s a graded essentially integers a is no is a b i p a r t i t e in [4]. examples call one way with minimal we these be full there a. ~ the B~ is t h e d i s c r e t e Let to d i s t i n c t we will ~a by is a f u n c t o r (ie. and the morphisms ~ Motivated arrows) is d i s c u s s e d to t h e v e r t e x definitions. dimensional composahle cohomology are the vertices For is o n e p-cell a in ~ with ~p-l~a is a non-empty p ~ 0 the (p-1)-bouquet.

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