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The Multiple Q-Construction

Published online by Cambridge University Press:  20 November 2018

J. F. Jardine
J. F. Jardine*
Affiliation:
University of Western Ontario, London, Ontario
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Products, and closely associated questions of infinite loop space structure, have always been a source of trouble in higher algebraic K-theory. From the first description of the product in terms of the plus construction, up to the current tendency to let the infinite loop space machines do it, the constructions have never been completely explicit, and many mistakes have resulted.

Since Waldhausen introduced the double Q-construction [16], there has been the tantalizing prospect of an infinite loop space structure for the nerve of the Q-construction of an exact category , which would be understandable to the man on the street, and which also would be well-behaved with respect to products induced by biexact pairings. Gillet [3] showed that most of these conditions could be met with his introduction of the multiple Q-construction . Shimakawa [14] filled in some of the details later.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 39 , Issue 5 , 01 October 1987 , pp. 1174 - 1209
Copyright
Copyright © Canadian Mathematical Society 1987

References

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