4 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
Rigidity of terminal simplices in persistent homology
Aleksandra Franc, Žiga Virk
Given a filtration function on a finite simplicial complex, stability theorem of persistent homology states that the corresponding barcode is continuous with respect to changes in…
Spaces with high topological complexity
Aleksandra Franc, Petar Pavešić
By a formula of Farber the topological complexity TC(X) of a (p-1)-connected, m-dimensional CW-complex X is bounded above by (2m+1)/p+1. There are also various lower estimates for…
Lower bounds for topological complexity
Aleksandra Franc, Petar Pavešić
We introduce fibrewise Whitehead- and fibrewise Ganea definitions of monoidal topological complexity. We then define several lower bounds for the topological complexity, which impr…
Topological complexity of the telescope
Aleksandra Franc
We use an alternative definition of topological complexity to show that the topological complexity of the mapping telescope of a sequence $X_1\rightarrow X_2\rightarrow X_3\rightar…