Homotopy Exponents of Stiefel Manifolds in the Stable Range

被引：0

作者：

Zhao, Hao ^{[1
]}

Zhong, Li Nan ^{[1
,2
]}

Shen, Wen Huai ^{[1
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Yanbian Univ, Dept Math, Yanji 133000, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 09期

基金：

中国博士后科学基金; 高等学校博士学科点专项科研基金;

关键词：

Stiefel manifold; homotopy exponent; H-space; H-SPACES; SUSPENSION; COMPLEXES; FUNCTOR;

D O I：

10.1007/s10114-016-5223-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p be an odd prime. For the Stiefel manifold W-m+k,W-k = SU(m + k)/SU(m), we obtain an upper bound of its p-primary homotopy exponent in the stable range k <= m with k <= (p - 1)(2) vertical bar 1.

引用

页码：1080 / 1088

页数：9

共 50 条

[1] Homotopy exponents of Stiefel manifolds in the stable range
Hao Zhao
Li Nan Zhong
Wen Huai Shen
[J]. Acta Mathematica Sinica, English Series, 2016, 32 : 1080 - 1088
[2] Homotopy Exponents of Stiefel Manifolds in the Stable Range
Hao ZHAO
Li Nan ZHONG
Wen Huai SHEN
[J]. Acta Mathematica Sinica,English Series, 2016, (09) : 1080 - 1088
[3] Homotopy Exponents of Stiefel Manifolds in the Stable Range
Hao ZHAO
Li Nan ZHONG
Wen Huai SHEN
[J]. Acta Mathematica Sinica, 2016, 32 (09) : 1080 - 1088
[4] Homotopy exponents of real Stiefel manifolds
Zhao, Hao
Zhang, Ping
[J]. TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (04) : 589 - 595
[5] p-Primary homotopy decompositions of looped Stiefel manifolds and their exponents
Beben, Piotr
[J]. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2010, 10 (02): : 1089 - 1106
[6] SOME HOMOTOPY GROUPS OF STIEFEL MANIFOLDS
HOO, CS
MAHOWLAD, ME
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (04) : 661 - &
[7] PROJECTIVE HOMOTOPY CLASSES OF STIEFEL MANIFOLDS
STRUTT, J
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1972, 24 (03): : 465 - &
[8] STABLE SPLITTINGS OF STIEFEL MANIFOLDS
MILLER, H
[J]. TOPOLOGY, 1985, 24 (04) : 411 - 419
[9] GLOBAL STABLE SPLITTINGS OF STIEFEL MANIFOLDS
Schwede, Stefan
[J]. DOCUMENTA MATHEMATICA, 2022, 27 : 789 - 845
[10] TYPE OF RELATIVE RATIONAL HOMOTOPY OF FIBER BUNDLES IN STIEFEL MANIFOLDS
MARRY, P
[J]. COMPOSITIO MATHEMATICA, 1977, 34 (01) : 91 - 98

← 1 2 3 4 5 →