Two Applications of Homology Decompositions
Two Applications of Homology Decompositions
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同调分解的两种应用
DOI：
10.4153/cjm-1975-039-1
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
G. H. Toomer
中科院分区：
文献类型：
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作者：
G. H. Toomer
我们证明了有理空间的映射（见定义1）在每个阶段都诱导出同调截面的映射，并且k '-不变量是自然映射的。这是用来刻画理性空间，其中所有（矩阵）Massey产品消失作为楔形的理性领域，并产生精确的Eckmann-Hilton对偶的结果M。戴尔[7]。Berstein关于co-H空间[3]的结果也得到了推广。这些结果构成了作者在康奈尔大学由I.我对他的耐心帮助和鼓励表示衷心的感谢。扩展和反例将出现在未来的文件。
We show that a map of rational spaces (see Definition 1) induces a map of homology sections at each stage, and that the k'-invariants are mapped naturally. This is used to characterize rational spaces in which all (matric) Massey products vanish as wedges of rational spheres, and yields the precise Eckmann-Hilton dual of a result of M. Dyer [7]. Berstein's result on co-H spaces [3] is also deduced. These results form a part of the author's doctoral dissertation at Cornell University written under Professor I. Berstein, to whom I express my sincere thanks for his patient help and encouragement. Extensions and counterexamples will appear in a future paper.