张增喜.作为T-空间T-伦型不变量的特异指数[J].数学研究及应用,1996,16(3):383~386
作为T-空间T-伦型不变量的特异指数
Special Singular Indices of T-Spaces as Invariant Quanta of T-Homotopy Types of T-Spaces
投稿时间:1993-11-17  修订日期:1994-08-01
DOI:10.3770/j.issn:1000-341X.1996.03.016
中文关键词:  T-同胚  T-同伦  ρ′-上同调序列  ρ′-边缘同态  特异指数.
英文关键词:T-homeomorphism, T-homotopy, ρ′-cohomology sequence, ρ′-boundaryho-momorphism , special singular index.
基金项目:
作者单位
张增喜 首都师范大学数学系 
摘要点击次数: 2009
全文下载次数: 1563
中文摘要:
      对T-空间之间引进了T-映射,T-同胚,T-映射的T-同伦,T-空间的T-同伦等价等概念.对T-紧致连通Hausdorff空间应用Cech-smith特异上同调理论定义了特异指数的概念,并在此基础上证明了T-空间的特异指数是T-空间的T-伦型不变量,从而也证明了它是T-空间的T-同胚不变量.
英文摘要:
      In this paper, we introduce the concepts of T-map , T-homeomorphism, T-homotopies between T-maps, T-homotopy-equivalents between T-spaces, and define the concept of special singular index of T-space by Ceech-Smith special singular cohomology theory for T-compact connected Hausdorff spaces. We prove that the special singular indeces of T-spaces are the invariant quanta for T-homotopy-types of T-spaces, the invariant quanta for T-homeomorphism-types of T-spaces, too.
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