On the immersion problem for 2^r-torsion lens spaces

详细信息    查看全文

• 作者：Gonzá ; lez ; Jesú ; s ; Shimkus ; Thomas A.
• 关键词：primary ; 57R42 ; secondary ; 55S35 ; Immersions ; Lens spaces ; Obstruction theory ; Modified Postnikov towers
• 刊名：Topology and its Applications
• 出版年：2004
• 出版时间：November 28, 2004
• 年：2004
• 卷：145
• 期：1-3
• 页码：261-275
• 全文大小：169 K

文摘

Building on the methods and results in [Bol. Soc. Mat. Mexicana (3) 9 (2003) 339; Shimkus, Immersions of 2-torsion lens spaces, Ph.D. Thesis, Lehigh University, 2002] we obtain some new nonimmersion results for Formula Not Shown -torsion lens spaces. In particular, we settle the immersion problem for those ( Formula Not Shown )-dimensional lens spaces with Formula Not Shown and n odd. The methods are based on the analysis of modified Postnikov towers for lifting the relevant stable normal bundles; Davis and Mahowald's method [Proc. London Math. Soc. (3) 35 (1977) 333] for evaluating k-invariants plays a major role.