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FiltrationValue Struct Reference

Value type for a filtration function on a cell complex. More...

#include <FiltrationValue.h>

Public Member Functions

bool operator< (FiltrationValue f1, FiltrationValue f2)
 Operator < is a StrictWeakOrdering.
 

Detailed Description

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).


The documentation for this struct was generated from the following file: