Persistence on Quotient Spaces with G-invariant Covering for Structural Analysis
Zhenghong Chen
Abstract:Persistent homology, building its foundation on homology theory, has been successfully applied various fields containing computation of topology. Here, we derive and implement persistent homology theory to specefic topological spaces with G-invariant covering, whereby persistence over quotient space can be canonically formed. The implementation is validated by comparing against various transformation homomorphisms. Furthermore, it is proved that implementation over normal covering spaces can preserve persisten… Show more
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