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Diffstat (limited to 'src/Persistent_cohomology')
-rw-r--r-- | src/Persistent_cohomology/doc/3DTorus_poch.png | bin | 0 -> 40164 bytes | |||
-rw-r--r-- | src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h | 9 |
2 files changed, 0 insertions, 9 deletions
diff --git a/src/Persistent_cohomology/doc/3DTorus_poch.png b/src/Persistent_cohomology/doc/3DTorus_poch.png Binary files differnew file mode 100644 index 00000000..1c9d8328 --- /dev/null +++ b/src/Persistent_cohomology/doc/3DTorus_poch.png diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h index 643b810c..3c331f0f 100644 --- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h +++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h @@ -63,15 +63,6 @@ namespace persistent_cohomology { composed of three elements: topological spaces, their homology groups and an evolution scheme. - The theory of homology consists in attaching to a topological space a sequence of - (homology) groups, - capturing global topological features - like connected components, holes, cavities, etc. Persistent homology studies the evolution - -- birth, life and death -- of - these features when the topological space is changing. Consequently, the theory is essentially - composed of three elements: - topological spaces, their homology groups and an evolution scheme. - <DT>Topological Spaces:</DT> Topological spaces are represented by simplicial complexes. Let \f$V = \{1, \cdots ,|V|\}\f$ be a set of <EM>vertices</EM>. |