Products on spheres
作者:
I. M. James,
期刊:
Mathematika
(WILEY Available online 1959)
卷期:
Volume 6,
issue 1
页码: 1-13
ISSN:0025-5793
年代: 1959
DOI:10.1112/S0025579300001868
出版商: London Mathematical Society
数据来源: WILEY
摘要:
SummaryMultiplications on spheres are studied in [11], [12]from the standpoint of homotopy theory. These multiplications are products with a unit element. The present paper deals with products in general. The investigation involves proving some results on the toric construction and the Whitehead product. These results also lead to theorems about the Stiefel manifold of unit tangent vectors to a sphere, originally proved by M. G. Barratt, which clear up some points in the homotopy theory of sphere bundles over spheres (see [15], [16]). They also enable us to prove that certain of the classical Lie groups are not homotopy‐commutative.
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