同纬映象函子与同伦正则态射

同纬映象函子与同伦正则态射

钱有华¹,², 陈胜敏¹

1. 浙江师范大学数理信息学院, 浙江金华 321004; 2. 北京工业大学机电学院, 北京 100124

收稿日期:2008-06-26 修回日期:1900-01-01 出版日期:2009-05-26 发布日期:2009-06-23
通讯作者: 钱有华

Suspension Functor and Homotopy Regular Morphism

QIAN Youhua¹,², CHEN Shengmin¹

1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, Zhejiang Province, China; 2. College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China

Received:2008-06-26 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
Contact: QIAN Youhua

摘要/Abstract

摘要： 利用同纬映象函子定义稳定同伦正则态射, 并研究了稳定同伦正则态射存在的条件及性质, 得到如下结果：若态射f: X→Y有稳定同伦标准分解 (g,Z,h), 设有A,B及相应的态射i: A→X与p: Y→B, 使得gi和ph是稳定同伦等价的, 则f: X→Y必为稳定同伦正则态射, 且在k稳定同伦意义下惟一.

关键词: 同纬映象函子, 同伦正则态射, 稳定同伦正则态射

Abstract: Stable homotopy regular morphism is defined in this paper by using suspension functor. Its existenceand properties are also presented. The main conclusion is as follows. Letf: X→Y be a map of stable standard decomposition (g,Z,h). Supposing that there exist A,B and i: A→X, p: Y→B such that gi and phare all stable homotopy equivalences, then fis a stable homotopy regular morphism, and f is uniquenessin the sence of kstable homotopy.

Key words: suspension functor, homotopy regular morphism, stable homotopy regular morphism

中图分类号:

O189.2

钱有华,, 陈胜敏. 同纬映象函子与同伦正则态射[J]. J4, 2009, 47(03): 476-480.

QIAN Youhua,, CHEN Shengmin. Suspension Functor and Homotopy Regular Morphism[J]. J4, 2009, 47(03): 476-480.

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