diff --git a/upath/core312plus.py b/upath/core312plus.py
index 828052a7..c477238c 100644
--- a/upath/core312plus.py
+++ b/upath/core312plus.py
@@ -131,6 +131,7 @@ class UPath(Path):
         _fs_cached: AbstractFileSystem
 
     pathmod = _flavour = fsspecpathmod
+    _supports_empty_parts = False
 
     def __new__(
         cls, *args, protocol: str | None = None, **storage_options: Any
@@ -274,6 +275,20 @@ def with_segments(self, *pathsegments):
             **self._storage_options,
         )
 
+    @classmethod
+    def _parse_path(cls, path):
+        if cls._supports_empty_parts:
+            drv, root, rel = cls._flavour.splitroot(path)
+            if not root:
+                parsed = []
+            else:
+                parsed = list(map(sys.intern, rel.split(cls._flavour.sep)))
+                if parsed[-1] == ".":
+                    parsed[-1] = ""
+                parsed = [x for x in parsed if x != "."]
+            return drv, root, parsed
+        return super()._parse_path(path)
+
     def __str__(self):
         if self._protocol:
             return f"{self._protocol}://{self.path}"
@@ -367,6 +382,10 @@ def open(self, mode="r", buffering=-1, encoding=None, errors=None, newline=None)
         return self.fs.open(self.path, mode)  # fixme
 
     def iterdir(self):
+        if self._supports_empty_parts and self.parts[-1:] == ("",):
+            base = self.with_segments(self.anchor, *self._tail[:-1])
+        else:
+            base = self
         for name in self.fs.listdir(self.path):
             # fsspec returns dictionaries
             if isinstance(name, dict):
@@ -375,8 +394,8 @@ def iterdir(self):
                 # Yielding a path object for these makes little sense
                 continue
             # only want the path name with iterdir
-            _, _, name = name.rpartition(self._flavour.sep)
-            yield self._make_child_relpath(name)
+            _, _, name = name.removesuffix("/").rpartition(self._flavour.sep)
+            yield base._make_child_relpath(name)
 
     def _scandir(self):
         # return os.scandir(self)
@@ -427,10 +446,13 @@ def resolve(self, strict: bool = False) -> Self:
 
         resolved: list[str] = []
         resolvable_parts = _parts[1:]
-        for part in resolvable_parts:
+        last_idx = len(resolvable_parts) - 1
+        for idx, part in enumerate(resolvable_parts):
             if part == "..":
                 if resolved:
                     resolved.pop()
+                if self._supports_empty_parts and idx == last_idx:
+                    resolved.append("")
             elif part != ".":
                 resolved.append(part)
 
diff --git a/upath/implementations/http.py b/upath/implementations/http.py
index 9489fb3d..a5ba2013 100644
--- a/upath/implementations/http.py
+++ b/upath/implementations/http.py
@@ -1,6 +1,5 @@
 from __future__ import annotations
 
-import posixpath
 import sys
 from urllib.parse import urlunsplit
 
@@ -96,7 +95,10 @@ def path(self) -> str:
         return urlunsplit(self._url)
 
 
-if sys.version_info >= (3, 12):
+if sys.version_info >= (3, 12):  # noqa
+    from itertools import chain
+    from urllib.parse import urlsplit
+
     from upath.core312plus import PathOrStr
     from upath.core312plus import fsspecpathmod
     from upath.core312plus import strip_upath_protocol
@@ -107,17 +109,102 @@ class httppathmod(fsspecpathmod):
 
         @staticmethod
         def join(__path: PathOrStr, *paths: PathOrStr) -> str:
-            return posixpath.join(*map(strip_upath_protocol, [__path, *paths]))
+            path = strip_upath_protocol(__path).removesuffix("/")
+            paths = map(strip_upath_protocol, paths)
+            sep = httppathmod.sep
+            for b in paths:
+                if b.startswith(sep):
+                    path = b
+                elif not path:
+                    path += b
+                else:
+                    path += sep + b
+            return path
 
         @staticmethod
         def splitroot(__path: PathOrStr) -> tuple[str, str, str]:
-            path = strip_upath_protocol(__path)
-            return posixpath.splitroot(path)
+            # path = strip_upath_protocol(__path)
+            url = urlsplit(__path)
+            drive = urlunsplit(url._replace(path="", query="", fragment=""))
+            path = urlunsplit(url._replace(scheme="", netloc=""))
+            root = "/" if path.startswith("/") else ""
+            return drive, root, path.removeprefix("/")
 
         @staticmethod
         def splitdrive(__path: PathOrStr) -> tuple[str, str]:
             path = strip_upath_protocol(__path)
-            return posixpath.splitdrive(path)
-
-    class HTTPPath(upath.core.UPath):  # noqa
-        pathmod = httppathmod
+            url = urlsplit(path)
+            path = urlunsplit(url._replace(scheme="", netloc=""))
+            drive = urlunsplit(url._replace(path="", query="", fragment=""))
+            return drive, path
+
+    class HTTPPath(upath.core312plus.UPath):  # noqa
+        pathmod = _flavour = httppathmod
+        _supports_empty_parts = True
+
+        @property
+        def root(self) -> str:
+            return super().root or "/"
+
+        def __str__(self):
+            return super(upath.core312plus.UPath, self).__str__()
+
+        def is_file(self):
+            try:
+                next(super().iterdir())
+            except (StopIteration, NotADirectoryError):
+                return True
+            except FileNotFoundError:
+                return False
+            else:
+                return False
+
+        def is_dir(self):
+            try:
+                next(super().iterdir())
+            except (StopIteration, NotADirectoryError):
+                return False
+            except FileNotFoundError:
+                return False
+            else:
+                return True
+
+        def iterdir(self):
+            it = iter(super().iterdir())
+            try:
+                item0 = next(it)
+            except (StopIteration, NotADirectoryError):
+                raise NotADirectoryError(str(self))
+            except FileNotFoundError:
+                raise FileNotFoundError(str(self))
+            else:
+                yield from chain([item0], it)
+
+        def resolve(
+            self: HTTPPath,
+            strict: bool = False,
+            follow_redirects: bool = True,
+        ) -> HTTPPath:
+            """Normalize the path and resolve redirects."""
+            # Normalise the path
+            resolved_path = super().resolve(strict=strict)
+
+            if follow_redirects:
+                # Get the fsspec fs
+                fs = self.fs
+                url = str(self)
+                # Ensure we have a session
+                session = sync(fs.loop, fs.set_session)
+                # Use HEAD requests if the server allows it, falling back to GETs
+                for method in (session.head, session.get):
+                    r = sync(fs.loop, method, url, allow_redirects=True)
+                    try:
+                        r.raise_for_status()
+                    except Exception as exc:
+                        if method == session.get:
+                            raise FileNotFoundError(self) from exc
+                    else:
+                        resolved_path = HTTPPath(str(r.url))
+                        break
+
+            return resolved_path