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On the Suspension Order of (RP2m)[k]
Paul Silberbush and Jack Ucci
Proceedings of the American Mathematical Society
Vol. 126, No. 6 (Jun., 1998), pp. 1867-1872
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/118596
Page Count: 6
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It is shown that the suspension order of the k-fold cartesian product (RP2m)[k] of real projective 2m-space RP2m is less than or equal to the suspension order of the k-fold symmetric product SPkRP2m of RP2m and greater than or equal to 2r+s+1, where k and m satisfy 2r≤ 2m < 2r+1 and 2s≤ k < 2s+1. In particular RP2 × RP2 has suspension order 8, and for fixed m ≥ 1 the suspension orders of the spaces (RP2m)[k] are unbounded while their stable suspension orders are constant and equal to 2φ (2m).
Proceedings of the American Mathematical Society © 1998 American Mathematical Society