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. |
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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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