关于Rack上同调
On rack cohomology
摘要：
证明了Carter，Jelsovsky，Kamada和Saito给出的Rack，Quandle和退化上同调的贝蒂数的下界实际上是相等的.我们还计算了Carter、Elhamdadi和Saito引入的扭曲上同调的贝蒂数。我们也给出了一个第二上同调群的机架群论解释。
英文摘要：
We prove that the lower bounds for Betti numbers of the rack, quandle and degeneracy cohomology given by Carter, Jelsovsky, Kamada, and Saito, are in fact equalities. We compute as well the Betti numbers of the twisted cohomology introduced by Carter, Elhamdadi, and Saito. We also give a group-theoretical interpretation of the second cohomology group for racks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
