The homology groups of the space $$$\Omega_n(m)$$$

A.M. Pasko

doi:10.15421/241904

The homology groups of the space $$$\Omega_n(m)$$$

A.M. Pasko (Oles Honchar Dnipro National University)

Abstract

The spaces $$$\Omega_n(m)$$$ that generalize the spaces $$$\Omega_n$$$ are introduced. In order to investigate the homotopy invariants of the space $$$\Omega_n(m)$$$ the CW-structure of the space $$$\Omega_n(m)$$$ is built. Using exact homology sequence the homology groups of the space $$$\Omega_n(m)$$$ are calculated.

Keywords

generalized perfect spline; CW-complex; homology groups

MSC 2020

41A10; 41A44; 46E20

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References

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