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-rw-r--r--src/Simplex_tree/doc/Intro_simplex_tree.h2
-rw-r--r--src/cython/doc/alpha_complex_sum.rst2
-rw-r--r--src/cython/doc/index.rst2
3 files changed, 3 insertions, 3 deletions
diff --git a/src/Simplex_tree/doc/Intro_simplex_tree.h b/src/Simplex_tree/doc/Intro_simplex_tree.h
index 940dd694..f5b72ff6 100644
--- a/src/Simplex_tree/doc/Intro_simplex_tree.h
+++ b/src/Simplex_tree/doc/Intro_simplex_tree.h
@@ -32,7 +32,7 @@ namespace Gudhi {
* \author Clément Maria
*
* A simplicial complex \f$\mathbf{K}\f$ on a set of vertices \f$V = \{1, \cdots ,|V|\}\f$ is a collection of
- * implices \f$\{\sigma\}\f$, \f$\sigma \subseteq V\f$ such that
+ * simplices \f$\{\sigma\}\f$, \f$\sigma \subseteq V\f$ such that
* \f$\tau \subseteq \sigma \in \mathbf{K} \rightarrow \tau \in \mathbf{K}\f$. The dimension \f$n=|\sigma|-1\f$ of
* \f$\sigma\f$ is its number of elements minus \f$1\f$.
*
diff --git a/src/cython/doc/alpha_complex_sum.rst b/src/cython/doc/alpha_complex_sum.rst
index 8437e901..a5f6420a 100644
--- a/src/cython/doc/alpha_complex_sum.rst
+++ b/src/cython/doc/alpha_complex_sum.rst
@@ -16,7 +16,7 @@
| | complex. |
| | |
| | This package requires having CGAL version 4.7 or higher (4.8.1 is |
-| | advised for better perfomances). |
+| | advised for better performance). |
+----------------------------------------------------------------+------------------------------------------------------------------------+
| :doc:`alpha_complex_user` | :doc:`alpha_complex_ref` |
+----------------------------------------------------------------+------------------------------------------------------------------------+
diff --git a/src/cython/doc/index.rst b/src/cython/doc/index.rst
index 89bc0bb2..4f5acfd4 100644
--- a/src/cython/doc/index.rst
+++ b/src/cython/doc/index.rst
@@ -20,7 +20,7 @@ data structures.
The current release of the GUDHI library includes:
* Data structures to represent, construct and manipulate simplicial complexes.
-* Simplication of simplicial complexes by edge contraction.
+* Simplification of simplicial complexes by edge contraction.
* Algorithms to compute persistent homology and bottleneck distance.
We refer to :cite:`gudhilibrary_ICMS14` for a detailed description of the