FiltrationValue Struct Reference

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

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).

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

• concept/Simplex_tree/FiltrationValue.h