Isometry Theorem for Continuous Quiver of Type $\tilde{A}$
Xiaowen Gao, Minghui Zhao
TL;DR
This paper extends the Isometry Theorem from continuous quivers of type A to those of type rac{A}{A}, enhancing the mathematical framework used in persistent homology.
Contribution
The paper generalizes the Isometry Theorem to continuous quivers of type rac{A}{A}, broadening its applicability in topological data analysis.
Findings
Generalization of Isometry Theorem to type rac{A}{A} quivers
Enhanced understanding of persistent homology in new quiver types
Potential applications in topological data analysis
Abstract
The Isometry Theorem for continuous quiver of type plays an important role in persistent homology. In this paper, we shall generalize Isometry Theorem to continuous quiver of type .
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Mathematical Analysis and Transform Methods