Value type for a filtration function on a cell complex. More...
#include <concept/Simplex_tree/FiltrationValue.h>
Public Member Functions | |
| bool | operator< (FiltrationValue f1, FiltrationValue f2) |
| Operator < is a StrictWeakOrdering. | |
Value type for a filtration function on a cell complex.
A filtration of a cell complex (see FilteredComplex) is a function \(f:\mathbf{K} \rightarrow \mathbb{R}\) satisfying \(f(\tau)\leq f(\sigma)\) whenever \(\tau \subseteq \sigma\). Ordering the simplices by increasing filtration values (breaking ties so as a simplex appears after its subsimplices of same filtration value) provides an indexing scheme (see IndexingTag).