diff --git a/test_notebooks.py b/test_notebooks.py
index 29c77ca..7cfd6d7 100644
--- a/test_notebooks.py
+++ b/test_notebooks.py
@@ -28,7 +28,7 @@
 
 
 def _relative_path(absolute_path):
-    return os.path.relpath(absolute_path, _repo_path().absolute())
+    return os.path.normpath(os.path.relpath(absolute_path, _repo_path().absolute()))
 
 
 def _repo_path():
@@ -111,7 +111,7 @@ def _preview_badge_markdown(absolute_path):
     )
     link = (
         f"https://github.com/open-atmos/{_repo_path().name}/blob/main/"
-        + f"{pathlib.PurePath(_relative_path(absolute_path))}"
+        + f"{_relative_path(absolute_path)}"
     )
     return f"[![preview notebook]({svg_badge_url})]({link})"
 
@@ -120,7 +120,7 @@ def _mybinder_badge_markdown(abslute_path):
     svg_badge_url = "https://mybinder.org/badge_logo.svg"
     link = (
         f"https://mybinder.org/v2/gh/open-atmos/{_repo_path().name}.git/main?urlpath=lab/tree/"
-        + f"{pathlib.PurePath(_relative_path(abslute_path))}"
+        + f"{_relative_path(abslute_path)}"
     )
     return f"[![launch on mybinder.org]({svg_badge_url})]({link})"
 
@@ -129,13 +129,13 @@ def _colab_badge_markdown(absolute_path):
     svg_badge_url = "https://colab.research.google.com/assets/colab-badge.svg"
     link = (
         f"https://colab.research.google.com/github/open-atmos/{_repo_path().name}/blob/main/"
-        + f"{pathlib.PurePath(_relative_path(absolute_path))}"
+        + f"{_relative_path(absolute_path)}"
     )
     return f"[![launch on Colab]({svg_badge_url})]({link})"
 
 
 def test_first_cell_contains_three_badges(notebook_filename):
-    """checks if all notebooks feature preview, mybinder and Colab badges
+    """checks if all notebooks feature nbviewer, mybinder and Colab badges
     (in the first cell)"""
     with open(notebook_filename, encoding="utf8") as fp:
         nb = nbformat.read(fp, nbformat.NO_CONVERT)