Abstract | ||
---|---|---|
Let $P$ be a finite poset. We will show that for any reasonable $P$-persistent object $X$ in the category of finite topological spaces, there is a $P-$ weighted graph, whose clique complex has the same $P$-persistent homology as $X$. |
Year | Venue | Field |
---|---|---|
2015 | CoRR | Topology,Discrete mathematics,Combinatorics,Singular homology,Topological space,Category of topological spaces,Relative homology,Cellular homology,Topological tensor product,Mathematics,Moore space (algebraic topology),Homeomorphism |
DocType | Volume | Citations |
Journal | abs/1502.04873 | 0 |
PageRank | References | Authors |
0.34 | 8 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Francesco Vaccarino | 1 | 11 | 3.11 |
Alice Patania | 2 | 0 | 0.68 |
Giovanni Petri | 3 | 0 | 1.01 |