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-rw-r--r--src/Cech_complex/doc/Intro_cech_complex.h6
1 files changed, 5 insertions, 1 deletions
diff --git a/src/Cech_complex/doc/Intro_cech_complex.h b/src/Cech_complex/doc/Intro_cech_complex.h
index 4d88a1e9..c2844bac 100644
--- a/src/Cech_complex/doc/Intro_cech_complex.h
+++ b/src/Cech_complex/doc/Intro_cech_complex.h
@@ -27,7 +27,7 @@ namespace Gudhi {
namespace cech_complex {
-/** \defgroup cech_complex Cech complex
+/** \defgroup cech_complex Čech complex
*
* \author Vincent Rouvreau
*
@@ -42,6 +42,10 @@ namespace cech_complex {
*
* The input shall be a point cloud in an Euclidean space.
*
+ * \remark For people only interested in the topology of the \ref cech_complex (for instance persistence),
+ * \ref alpha_complex is equivalent to the \ref cech_complex and much smaller if you do not bound the radii.
+ * \ref cech_complex can still make sense in higher dimension precisely because you can bound the radii.
+ *
* \subsection cechalgorithm Algorithm
*
* Cech_complex first builds a proximity graph from a point cloud.