Homology groups of $$$\mathbb{C}{\Omega}_n$$$ space for certain dimensionalities

A.M. Pas'ko

doi:10.15421/241612

Homology groups of $$$\mathbb{C}{\Omega}_n$$$ space for certain dimensionalities

A.M. Pas'ko (Oles Honchar Dnipropetrovsk National University)

Abstract

We calculate the homology groups $$$H_k(\mathbb{C}{\Omega}_n)$$$, $$$k = 0,1,2,2n-1,2n,2n+1$$$. We establish that the $$$\mathbb{C}{\Omega}_n$$$ space has a zero Euler characteristic.

Keywords

homology groups; CW complex; spline

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References

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