diff --git a/src/c3nav/mapdata/utils/cache/accessrestrictions.py b/src/c3nav/mapdata/utils/cache/accessrestrictions.py
index 7f6b6333..6513b7d3 100644
--- a/src/c3nav/mapdata/utils/cache/accessrestrictions.py
+++ b/src/c3nav/mapdata/utils/cache/accessrestrictions.py
@@ -5,9 +5,9 @@ from os import PathLike
 from typing import Self, Iterator, Union, TYPE_CHECKING
 
 import numpy as np
+from numpy.typing import NDArray
 
 if TYPE_CHECKING:
-    from numpy.typing import NDArray
     from shapely import Polygon, MultiPolygon
 
 from c3nav.mapdata.utils.cache.indexed import LevelGeometryIndexed
@@ -75,10 +75,10 @@ class AccessRestrictionAffectedCells:
         self.selector = selector
         self.values = self._get_values()
 
-    def _get_values(self) -> 'NDArray':
+    def _get_values(self) -> NDArray:
         return LevelGeometryIndexed.__getitem__(self.parent, self.selector)
 
-    def _set(self, values: 'NDArray'):
+    def _set(self, values: NDArray):
         self.values = values
         LevelGeometryIndexed.__setitem__(self.parent, self.selector, values)
 
diff --git a/src/c3nav/mapdata/utils/cache/indexed.py b/src/c3nav/mapdata/utils/cache/indexed.py
index a5302a33..7575620c 100644
--- a/src/c3nav/mapdata/utils/cache/indexed.py
+++ b/src/c3nav/mapdata/utils/cache/indexed.py
@@ -12,7 +12,6 @@ try:
 except ImportError:
     from threading import local as LocalContext
 
-
 if TYPE_CHECKING:
     from shapely import Polygon, MultiPolygon
 
diff --git a/src/c3nav/mapdata/utils/cache/maphistory.py b/src/c3nav/mapdata/utils/cache/maphistory.py
index 61a73030..7e74c524 100644
--- a/src/c3nav/mapdata/utils/cache/maphistory.py
+++ b/src/c3nav/mapdata/utils/cache/maphistory.py
@@ -1,14 +1,16 @@
 import struct
 from itertools import chain
 from os import PathLike
-from typing import Optional, Self
-from shapely import Polygon, MultiPolygon
+from typing import Optional, Self, TYPE_CHECKING, Union
 
 import numpy as np
 
 from c3nav.mapdata.utils.cache.types import MapUpdateTuple
 from c3nav.mapdata.utils.cache.indexed import LevelGeometryIndexed
 
+if TYPE_CHECKING:
+    from shapely import Polygon, MultiPolygon
+
 
 class MapHistory(LevelGeometryIndexed):
     # metadata format:
@@ -48,7 +50,7 @@ class MapHistory(LevelGeometryIndexed):
             instance.save()
         return instance
 
-    def add_geometry(self, geometry: Polygon | MultiPolygon, update: MapUpdateTuple):
+    def add_geometry(self, geometry: Union["Polygon", "MultiPolygon"], update: MapUpdateTuple):
         if self.updates[-1] != update:
             self.updates.append(update)
 
@@ -67,7 +69,7 @@ class MapHistory(LevelGeometryIndexed):
         self.simplify()
         super().write(*args, **kwargs)
 
-    def composite(self, other: Self, mask_geometry: Optional[Polygon | MultiPolygon]):
+    def composite(self, other: Self, mask_geometry: Optional[Union["Polygon", "MultiPolygon"]]):
         if self.resolution != other.resolution:
             raise ValueError('Cannot composite with different resolutions.')
 
diff --git a/src/c3nav/mapdata/utils/cache/package.py b/src/c3nav/mapdata/utils/cache/package.py
index 10ad48e5..44197d0a 100644
--- a/src/c3nav/mapdata/utils/cache/package.py
+++ b/src/c3nav/mapdata/utils/cache/package.py
@@ -1,6 +1,5 @@
 import os
 import struct
-from collections import namedtuple
 from io import BytesIO
 from pathlib import Path
 from tarfile import TarFile, TarInfo