Title
P-persistent homology of finite topological spaces.
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 Vaccarino1113.11
Alice Patania200.68
Giovanni Petri301.01