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Results tagged with ct.category-theory
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user 83274
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
votes
1
answer
699
views
Persistent homology over the integers
Is it likely that in the future, there will be interest in computing persistent homology over the integers (or other PIDs)?
Currently, persistent homology is usually done over a field (like $\mathbb{ …
- 63.9k
7
votes
1
answer
422
views
Correspondence between persistence module and graded module over $R[t]$
In the paper "Computing Persistent Homology" by Zomorodian and Carlsson, it is stated as Theorem 3.1 that:
The correspondence $\alpha$ defines an equivalence of categories between the category of …
- 63.9k