JP Journal of Geometry and Topology
Volume 4, Issue 1, Pages 23 - 34
(March 2004)
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GEOMETRIC CONSTRUCTION OF A CLASSIFYING SPACE FOR THE FIBRE OF THE DOUBLE SUSPENSION
Yasuhiko Kamiyama (Japan)
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Abstract:
Let
F(n) be the homotopy theoretic fibre of the double
suspension E2
: S2n – 1 ®
W2S2n + 1.
It is known that there is a fibration S2n – 1
®
W2S2n + 1
®
BF(n) such
that WBF(n)
= F(n).
In this paper, we construct BF(n) in terms of (n
+ 1)-tuples
of polynomials. |
| Keywords and phrases: double suspension, rational function. |
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