diff --git a/library/core/src/ptr/mod.rs b/library/core/src/ptr/mod.rs
index 68b5d1df71c..219835bfae0 100644
--- a/library/core/src/ptr/mod.rs
+++ b/library/core/src/ptr/mod.rs
@@ -54,16 +54,9 @@
 //! [aliasing]: ../../nomicon/aliasing.html
 //! [book]: ../../book/ch19-01-unsafe-rust.html#dereferencing-a-raw-pointer
 //! [ub]: ../../reference/behavior-considered-undefined.html
-//! [null]: ./fn.null.html
 //! [zst]: ../../nomicon/exotic-sizes.html#zero-sized-types-zsts
-//! [atomic operations]: ../../std/sync/atomic/index.html
-//! [`copy`]: ../../std/ptr/fn.copy.html
+//! [atomic operations]: crate::sync::atomic
 //! [`offset`]: ../../std/primitive.pointer.html#method.offset
-//! [`read_unaligned`]: ./fn.read_unaligned.html
-//! [`write_unaligned`]: ./fn.write_unaligned.html
-//! [`read_volatile`]: ./fn.read_volatile.html
-//! [`write_volatile`]: ./fn.write_volatile.html
-//! [`NonNull::dangling`]: ./struct.NonNull.html#method.dangling
 
 #![stable(feature = "rust1", since = "1.0.0")]
 
@@ -118,9 +111,9 @@ mod mut_ptr;
 /// done automatically by the compiler. This means the fields of packed structs
 /// are not dropped in-place.
 ///
-/// [`ptr::read`]: ../ptr/fn.read.html
-/// [`ptr::read_unaligned`]: ../ptr/fn.read_unaligned.html
-/// [pinned]: ../pin/index.html
+/// [`ptr::read`]: self::read
+/// [`ptr::read_unaligned`]: self::read_unaligned
+/// [pinned]: crate::pin
 ///
 /// # Safety
 ///
@@ -141,9 +134,7 @@ mod mut_ptr;
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
-/// [`Copy`]: ../marker/trait.Copy.html
-/// [`write`]: ../ptr/fn.write.html
+/// [valid]: #safety
 ///
 /// # Examples
 ///
@@ -243,9 +234,9 @@ pub(crate) struct FatPtr<T> {
 /// The `len` argument is the number of **elements**, not the number of bytes.
 ///
 /// This function is safe, but actually using the return value is unsafe.
-/// See the documentation of [`from_raw_parts`] for slice safety requirements.
+/// See the documentation of [`slice::from_raw_parts`] for slice safety requirements.
 ///
-/// [`from_raw_parts`]: ../../std/slice/fn.from_raw_parts.html
+/// [`slice::from_raw_parts`]: crate::slice::from_raw_parts
 ///
 /// # Examples
 ///
@@ -274,10 +265,9 @@ pub const fn slice_from_raw_parts<T>(data: *const T, len: usize) -> *const [T] {
 /// See the documentation of [`slice_from_raw_parts`] for more details.
 ///
 /// This function is safe, but actually using the return value is unsafe.
-/// See the documentation of [`from_raw_parts_mut`] for slice safety requirements.
+/// See the documentation of [`slice::from_raw_parts_mut`] for slice safety requirements.
 ///
-/// [`slice_from_raw_parts`]: fn.slice_from_raw_parts.html
-/// [`from_raw_parts_mut`]: ../../std/slice/fn.from_raw_parts_mut.html
+/// [`slice::from_raw_parts_mut`]: crate::slice::from_raw_parts_mut
 ///
 /// # Examples
 ///
@@ -316,8 +306,6 @@ pub const fn slice_from_raw_parts_mut<T>(data: *mut T, len: usize) -> *mut [T] {
 ///   overlapping region of memory from `x` will be used. This is demonstrated
 ///   in the second example below.
 ///
-/// [`mem::swap`]: ../mem/fn.swap.html
-///
 /// # Safety
 ///
 /// Behavior is undefined if any of the following conditions are violated:
@@ -328,7 +316,7 @@ pub const fn slice_from_raw_parts_mut<T>(data: *mut T, len: usize) -> *mut [T] {
 ///
 /// Note that even if `T` has size `0`, the pointers must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
+/// [valid]: #safety
 ///
 /// # Examples
 ///
@@ -406,7 +394,7 @@ pub unsafe fn swap<T>(x: *mut T, y: *mut T) {
 /// Note that even if the effectively copied size (`count * size_of::<T>()`) is `0`,
 /// the pointers must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
+/// [valid]: #safety
 ///
 /// # Examples
 ///
@@ -533,8 +521,6 @@ unsafe fn swap_nonoverlapping_bytes(x: *mut u8, y: *mut u8, len: usize) {
 /// operates on raw pointers instead of references. When references are
 /// available, [`mem::replace`] should be preferred.
 ///
-/// [`mem::replace`]: ../mem/fn.replace.html
-///
 /// # Safety
 ///
 /// Behavior is undefined if any of the following conditions are violated:
@@ -547,7 +533,7 @@ unsafe fn swap_nonoverlapping_bytes(x: *mut u8, y: *mut u8, len: usize) {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
+/// [valid]: #safety
 ///
 /// # Examples
 ///
@@ -682,11 +668,7 @@ pub unsafe fn replace<T>(dst: *mut T, mut src: T) -> T {
 /// assert_eq!(s, "bar");
 /// ```
 ///
-/// [`mem::swap`]: ../mem/fn.swap.html
-/// [valid]: ../ptr/index.html#safety
-/// [`Copy`]: ../marker/trait.Copy.html
-/// [`read_unaligned`]: ./fn.read_unaligned.html
-/// [`write`]: ./fn.write.html
+/// [valid]: #safety
 #[inline]
 #[stable(feature = "rust1", since = "1.0.0")]
 pub unsafe fn read<T>(src: *const T) -> T {
@@ -723,11 +705,8 @@ pub unsafe fn read<T>(src: *const T) -> T {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL.
 ///
-/// [`Copy`]: ../marker/trait.Copy.html
-/// [`read`]: ./fn.read.html
-/// [`write_unaligned`]: ./fn.write_unaligned.html
-/// [read-ownership]: ./fn.read.html#ownership-of-the-returned-value
-/// [valid]: ../ptr/index.html#safety
+/// [read-ownership]: read#ownership-of-the-returned-value
+/// [valid]: #safety
 ///
 /// ## On `packed` structs
 ///
@@ -819,8 +798,6 @@ pub unsafe fn read_unaligned<T>(src: *const T) -> T {
 /// This is appropriate for initializing uninitialized memory, or overwriting
 /// memory that has previously been [`read`] from.
 ///
-/// [`read`]: ./fn.read.html
-///
 /// # Safety
 ///
 /// Behavior is undefined if any of the following conditions are violated:
@@ -832,8 +809,7 @@ pub unsafe fn read_unaligned<T>(src: *const T) -> T {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
-/// [`write_unaligned`]: ./fn.write_unaligned.html
+/// [valid]: #safety
 ///
 /// # Examples
 ///
@@ -888,8 +864,6 @@ pub unsafe fn read_unaligned<T>(src: *const T) -> T {
 /// assert_eq!(foo, "bar");
 /// assert_eq!(bar, "foo");
 /// ```
-///
-/// [`mem::swap`]: ../mem/fn.swap.html
 #[inline]
 #[stable(feature = "rust1", since = "1.0.0")]
 pub unsafe fn write<T>(dst: *mut T, src: T) {
@@ -916,9 +890,6 @@ pub unsafe fn write<T>(dst: *mut T, src: T) {
 /// This is appropriate for initializing uninitialized memory, or overwriting
 /// memory that has previously been read with [`read_unaligned`].
 ///
-/// [`write`]: ./fn.write.html
-/// [`read_unaligned`]: ./fn.read_unaligned.html
-///
 /// # Safety
 ///
 /// Behavior is undefined if any of the following conditions are violated:
@@ -927,7 +898,7 @@ pub unsafe fn write<T>(dst: *mut T, src: T) {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL.
 ///
-/// [valid]: ../ptr/index.html#safety
+/// [valid]: #safety
 ///
 /// ## On `packed` structs
 ///
@@ -1007,8 +978,6 @@ pub unsafe fn write_unaligned<T>(dst: *mut T, src: T) {
 /// to not be elided or reordered by the compiler across other volatile
 /// operations.
 ///
-/// [`write_volatile`]: ./fn.write_volatile.html
-///
 /// # Notes
 ///
 /// Rust does not currently have a rigorously and formally defined memory model,
@@ -1041,10 +1010,8 @@ pub unsafe fn write_unaligned<T>(dst: *mut T, src: T) {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
-/// [`Copy`]: ../marker/trait.Copy.html
-/// [`read`]: ./fn.read.html
-/// [read-ownership]: ./fn.read.html#ownership-of-the-returned-value
+/// [valid]: #safety
+/// [read-ownership]: read#ownership-of-the-returned-value
 ///
 /// Just like in C, whether an operation is volatile has no bearing whatsoever
 /// on questions involving concurrent access from multiple threads. Volatile
@@ -1089,8 +1056,6 @@ pub unsafe fn read_volatile<T>(src: *const T) -> T {
 /// Additionally, it does not drop `src`. Semantically, `src` is moved into the
 /// location pointed to by `dst`.
 ///
-/// [`read_volatile`]: ./fn.read_volatile.html
-///
 /// # Notes
 ///
 /// Rust does not currently have a rigorously and formally defined memory model,
@@ -1115,12 +1080,12 @@ pub unsafe fn read_volatile<T>(src: *const T) -> T {
 ///
 /// Note that even if `T` has size `0`, the pointer must be non-NULL and properly aligned.
 ///
-/// [valid]: ../ptr/index.html#safety
+/// [valid]: #safety
 ///
 /// Just like in C, whether an operation is volatile has no bearing whatsoever
 /// on questions involving concurrent access from multiple threads. Volatile
 /// accesses behave exactly like non-atomic accesses in that regard. In particular,
-/// a race between a `write_volatile` and any other operation (reading or writing)
+/// a race between a [`write_volatile`] and any other operation (reading or writing)
 /// on the same location is undefined behavior.
 ///
 /// # Examples