Generalized axial maps and Euclidean immersions of lens spaces

被引:0
作者
Astey, L
Davis, DM
González, JS
机构
[1] Inst Politecn Nacl, CINVESTAV, Dept Matemat, Mexico City 07000, DF, Mexico
[2] Lehigh Univ, Bethlehem, PA 18015 USA
来源
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2003年 / 9卷 / 01期
关键词
axial maps; immersions of lens spaces; obstruction theory; modified Postnikov towers;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Generalized axial maps are introduced and related to the immersion problem for 2-torsion lens spaces to produce a characterization of this problem in the metastable range. A direct analysis gives a complete solution of the immersion problem for the missing cases. Other variations of the problem, which extend classical constructions for projective spaces, are discussed.
引用
收藏
页码:151 / 163
页数:13
相关论文
共 21 条
  • [11] IMMERSIONS IN STABLE RANGE
    HAEFLIGER, A
    HIRSCH, MW
    [J]. ANNALS OF MATHEMATICS, 1962, 75 (09) : 231 - &
  • [12] Hirsch MW, 1959, T AM MATH SOC, V93, P242, DOI DOI 10.2307/1993453
  • [13] JUNOD B, 1988, CR ACAD SCI I-MATH, V306, P279
  • [14] JUNOD B, 1995, MATH J OKAYAMA U, V37, P137
  • [15] KOBAYASHI T, 1971, HIROSHIMA MATH J, V1, P253
  • [16] KOBAYASHI T, 1977, HIROSHIMA MATH J, V7, P689
  • [17] Mahowald M, 1967, MEM AM MATH SOC, V72
  • [18] Sanderson B.J., 1963, TOPOLOGY, V2, P209
  • [19] SHIMKUS T, 2002, THESIS LEHIGH U BETH
  • [20] SIGRIST F, 1978, P C U BRIT COL VANC, P106