Intersection homology of regular and cylindrical neighborhoods

Greg Friedman

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Intersection homology of regular and cylindrical neighborhoods

机译：规则和圆柱邻域的相交同源性

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We develop a spectral sequence for the intersection homology of regular neighborhoods in PL stratified pseudomanifolds and of certain cylindrical neighborhoods of pure subsets in homotopically stratified spaces. We also develop a theory of simplicial homology with stratified systems of local coefficients and show that the E~2 terms of our spectral sequences are computable in terms of the homology of the "base" space with a suitably defined stratified system of local coefficients.

机译：我们为PL分层伪流形中的常规邻域和同位分层空间中纯子集的某些圆柱邻域的相交同源性开发了一个光谱序列。我们还开发了具有局部系数分层系统的简单单纯性理论，并表明我们的频谱序列的E〜2项可以根据“基本”空间与适当定义的局部系数分层系统的同源性进行计算。

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来源
《Topology and its applications》 |2005年第3期|p.97-148|共52页
作者
Greg Friedman;
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作者单位

Yale University, Department of Mathematics, 10 Hillhouse Ave., PO Box 208283, New Haven, CT 06520, USA;

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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
intersection homology; spectral sequence; regular neighborhood; stratified space; stratified pseudomanifold; stratified fibrations; homotopy link; manifold stratified space;

机译：交叉点同源性;谱序列;规则邻域;分层空间;分层伪流形;分层纤维化;同态链接;流形分层空间;

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7. Intersection homology of regular and cylindrical neighborhoods [O] . Friedman Greg 2005

机译：规则和圆柱邻域的相交同源性

Intersection homology of regular and cylindrical neighborhoods

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