diff --git a/lib/zipp/__init__.py b/lib/zipp/__init__.py
index ddfa0a64..3354c2bb 100644
--- a/lib/zipp/__init__.py
+++ b/lib/zipp/__init__.py
@@ -5,9 +5,9 @@ import itertools
 import contextlib
 import pathlib
 import re
-import fnmatch
 
 from .py310compat import text_encoding
+from .glob import translate
 
 
 __all__ = ['Path']
@@ -298,21 +298,24 @@ class Path:
         encoding, args, kwargs = _extract_text_encoding(*args, **kwargs)
         return io.TextIOWrapper(stream, encoding, *args, **kwargs)
 
+    def _base(self):
+        return pathlib.PurePosixPath(self.at or self.root.filename)
+
     @property
     def name(self):
-        return pathlib.Path(self.at).name or self.filename.name
+        return self._base().name
 
     @property
     def suffix(self):
-        return pathlib.Path(self.at).suffix or self.filename.suffix
+        return self._base().suffix
 
     @property
     def suffixes(self):
-        return pathlib.Path(self.at).suffixes or self.filename.suffixes
+        return self._base().suffixes
 
     @property
     def stem(self):
-        return pathlib.Path(self.at).stem or self.filename.stem
+        return self._base().stem
 
     @property
     def filename(self):
@@ -349,7 +352,7 @@ class Path:
         return filter(self._is_child, subs)
 
     def match(self, path_pattern):
-        return pathlib.Path(self.at).match(path_pattern)
+        return pathlib.PurePosixPath(self.at).match(path_pattern)
 
     def is_symlink(self):
         """
@@ -357,22 +360,13 @@ class Path:
         """
         return False
 
-    def _descendants(self):
-        for child in self.iterdir():
-            yield child
-            if child.is_dir():
-                yield from child._descendants()
-
     def glob(self, pattern):
         if not pattern:
             raise ValueError(f"Unacceptable pattern: {pattern!r}")
 
-        matches = re.compile(fnmatch.translate(pattern)).fullmatch
-        return (
-            child
-            for child in self._descendants()
-            if matches(str(child.relative_to(self)))
-        )
+        prefix = re.escape(self.at)
+        matches = re.compile(prefix + translate(pattern)).fullmatch
+        return map(self._next, filter(matches, self.root.namelist()))
 
     def rglob(self, pattern):
         return self.glob(f'**/{pattern}')
diff --git a/lib/zipp/glob.py b/lib/zipp/glob.py
new file mode 100644
index 00000000..4a2e665e
--- /dev/null
+++ b/lib/zipp/glob.py
@@ -0,0 +1,40 @@
+import re
+
+
+def translate(pattern):
+    r"""
+    Given a glob pattern, produce a regex that matches it.
+
+    >>> translate('*.txt')
+    '[^/]*\\.txt'
+    >>> translate('a?txt')
+    'a.txt'
+    >>> translate('**/*')
+    '.*/[^/]*'
+    """
+    return ''.join(map(replace, separate(pattern)))
+
+
+def separate(pattern):
+    """
+    Separate out character sets to avoid translating their contents.
+
+    >>> [m.group(0) for m in separate('*.txt')]
+    ['*.txt']
+    >>> [m.group(0) for m in separate('a[?]txt')]
+    ['a', '[?]', 'txt']
+    """
+    return re.finditer(r'([^\[]+)|(?P<set>[\[].*?[\]])|([\[][^\]]*$)', pattern)
+
+
+def replace(match):
+    """
+    Perform the replacements for a match from :func:`separate`.
+    """
+
+    return match.group('set') or (
+        re.escape(match.group(0))
+        .replace('\\*\\*', r'.*')
+        .replace('\\*', r'[^/]*')
+        .replace('\\?', r'.')
+    )
diff --git a/lib/zipp/py310compat.py b/lib/zipp/py310compat.py
index 8244124c..d5ca53e0 100644
--- a/lib/zipp/py310compat.py
+++ b/lib/zipp/py310compat.py
@@ -2,9 +2,8 @@ import sys
 import io
 
 
-te_impl = 'lambda encoding, stacklevel=2, /: encoding'
-te_impl_37 = te_impl.replace(', /', '')
-_text_encoding = eval(te_impl) if sys.version_info > (3, 8) else eval(te_impl_37)
+def _text_encoding(encoding, stacklevel=2, /):  # pragma: no cover
+    return encoding
 
 
 text_encoding = (
diff --git a/requirements.txt b/requirements.txt
index d4e4442f..7157e7b6 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -49,7 +49,7 @@ urllib3<2
 webencodings==0.5.1
 websocket-client==1.6.2
 xmltodict==0.13.0
-zipp==3.15.0
+zipp==3.16.2
 
 # configobj==5.1.0
 # sgmllib3k==1.0.0