Span of orthogonal sphere bundles over spheres

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• 作者：Nancy de Souza Cardim^a ; ^{ganancy@vm.uff.br" class="auth_mail" title="E-mail the corresponding author} ; Kee Y. Lam^b ; ^{lam@math.ubc.ca" class="auth_mail" title="E-mail the corresponding author} ; Maria Hermí ; nia de P.L. Mello^c ; ^{mherminia@ime.uerj.br" class="auth_mail" title="E-mail the corresponding author} ; Duane Randall^d ; ¹ ; ^{randall@loyno.edu" class="auth_mail" title="E-mail the corresponding author} ; Má ; rio Olivero Marques da Silva^e ; ^{olivero@mat.uff.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 55R10 ; 55R50 ; 55Q35 ; secondary ; 58K45
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：1 April 2016
• 年：2016
• 卷：202
• 期：Complete
• 页码：325-336
• 全文大小：345 K

文摘

Our aim in this paper is to determine the span and the stable span of the total spaces of oriented sphere bundles over spheres. In many cases the span and the stable span coincide. The special case of S⁷$S^7$-bundles over S⁸$S^8$ is particularly interesting.