None is not a keyword, link file.next() to functions.html#next
diff --git a/Doc/library/stdtypes.rst b/Doc/library/stdtypes.rst
index 4929671..933e326 100644
--- a/Doc/library/stdtypes.rst
+++ b/Doc/library/stdtypes.rst
@@ -2372,12 +2372,12 @@
    A file object is its own iterator, for example ``iter(f)`` returns *f* (unless
    *f* is closed).  When a file is used as an iterator, typically in a
    :keyword:`for` loop (for example, ``for line in f: print line``), the
-   :meth:`.next` method is called repeatedly.  This method returns the next input
+   :meth:`next` method is called repeatedly.  This method returns the next input
    line, or raises :exc:`StopIteration` when EOF is hit when the file is open for
    reading (behavior is undefined when the file is open for writing).  In order to
    make a :keyword:`for` loop the most efficient way of looping over the lines of a
    file (a very common operation), the :meth:`next` method uses a hidden read-ahead
-   buffer.  As a consequence of using a read-ahead buffer, combining :meth:`.next`
+   buffer.  As a consequence of using a read-ahead buffer, combining :meth:`next`
    with other file methods (like :meth:`readline`) does not work right.  However,
    using :meth:`seek` to reposition the file to an absolute position will flush the
    read-ahead buffer.
diff --git a/Doc/library/sys.rst b/Doc/library/sys.rst
index 2ddf5a8..94947b2 100644
--- a/Doc/library/sys.rst
+++ b/Doc/library/sys.rst
@@ -653,7 +653,7 @@
     imported. The :meth:`find_module` method is called at least with the
     absolute name of the module being imported. If the module to be imported is
     contained in package then the parent package's :attr:`__path__` attribute
-    is passed in as a second argument. The method returns :keyword:`None` if
+    is passed in as a second argument. The method returns ``None`` if
     the module cannot be found, else returns a :term:`loader`.
 
     :data:`sys.meta_path` is searched before any implicit default finders or
@@ -712,7 +712,7 @@
     A dictionary acting as a cache for :term:`finder` objects. The keys are
     paths that have been passed to :data:`sys.path_hooks` and the values are
     the finders that are found. If a path is a valid file system path but no
-    explicit finder is found on :data:`sys.path_hooks` then :keyword:`None` is
+    explicit finder is found on :data:`sys.path_hooks` then ``None`` is
     stored to represent the implicit default finder should be used. If the path
     is not an existing path then :class:`imp.NullImporter` is set.