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Why does topology rarely come up outside of topology?

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#general-topology #soft-question #education #topological-data-analysis
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The definition of an equivalence relation

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#elementary-set-theory #equivalence-relations #topological-data-analysis
93
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Missing points in Persistent Homology

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#algebraic-topology #soft-question #topological-data-analysis
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References for Topology with applications in Engineering, Computer Science, Robotics

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#general-topology #reference-request #algebraic-topology #topological-data-analysis
202
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How is Tensor Decomposition (Factorization) related to Topological Data Analysis?

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#general-topology #tensors #multilinear-algebra #tensor-decomposition #topological-data-analysis
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TDA - Persistence diagrams and Barcodes

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#statistics #algebraic-topology #homology-cohomology #topological-data-analysis
91
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Equivalent definitions of persistent homology

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#abstract-algebra #algebraic-topology #topological-data-analysis
136
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Is there a reference for an explicit computation of persistent homology?

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#reference-request #algebraic-topology #homology-cohomology #topological-data-analysis
235
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Intuitive meaning of Persistent Group / Persistent Module

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#group-theory #algebraic-topology #modules #topological-data-analysis
223
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Persistent Homology with Integer Coefficients

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#algebraic-topology #homology-cohomology #topological-data-analysis
158
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How is Persistent Homology different from just calculating ordinary homology at each filtration

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#algebraic-topology #homology-cohomology #topological-data-analysis
96
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Clarification of "death event" in persistent homology

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#homology-cohomology #topological-data-analysis
196
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Reduction algorithm for Persistent Homology

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#algebraic-topology #algorithms #topological-data-analysis
291
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Complexity of computing Persistent Homology vs Homology

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#reference-request #algebraic-topology #topological-data-analysis
275
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Topological Features and Graph Spectra

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#algebraic-topology #soft-question #data-analysis #spectral-graph-theory #topological-data-analysis

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