diff --git a/src/inclusive_map.rs b/src/inclusive_map.rs
index 76e6e09..15351be 100644
--- a/src/inclusive_map.rs
+++ b/src/inclusive_map.rs
@@ -2,6 +2,7 @@ use super::range_wrapper::RangeInclusiveStartWrapper;
 use crate::range_wrapper::RangeInclusiveEndWrapper;
 use crate::std_ext::*;
 use alloc::collections::BTreeMap;
+use core::borrow::Borrow;
 use core::cmp::Ordering;
 use core::fmt::{self, Debug};
 use core::iter::FromIterator;
@@ -527,11 +528,12 @@ where
 
     /// Gets an iterator over all the stored ranges that are
     /// either partially or completely overlapped by the given range.
-    pub fn overlapping<'a>(&'a self, range: &'a RangeInclusive<K>) -> Overlapping<K, V> {
+    pub fn overlapping<R: Borrow<RangeInclusive<K>>>(&self, range: R) -> Overlapping<K, V, R> {
         // Find the first matching stored range by its _end_,
         // using sneaky layering and `Borrow` implementation. (See `range_wrappers` module.)
-        let start_sliver =
-            RangeInclusiveEndWrapper::new(range.start().clone()..=range.start().clone());
+        let start_sliver = RangeInclusiveEndWrapper::new(
+            range.borrow().start().clone()..=range.borrow().start().clone(),
+        );
         let btm_range_iter = self
             .btm
             .range::<RangeInclusiveEndWrapper<K>, RangeFrom<&RangeInclusiveEndWrapper<K>>>(
@@ -811,15 +813,18 @@ where
 /// documentation for more.
 ///
 /// [`overlapping`]: RangeInclusiveMap::overlapping
-pub struct Overlapping<'a, K, V> {
-    query_range: &'a RangeInclusive<K>,
+pub struct Overlapping<'a, K, V, R: Borrow<RangeInclusive<K>> = &'a RangeInclusive<K>> {
+    query_range: R,
     btm_range_iter: alloc::collections::btree_map::Range<'a, RangeInclusiveStartWrapper<K>, V>,
 }
 
 // `Overlapping` is always fused. (See definition of `next` below.)
-impl<'a, K, V> core::iter::FusedIterator for Overlapping<'a, K, V> where K: Ord + Clone {}
+impl<'a, K, V, R: Borrow<RangeInclusive<K>>> core::iter::FusedIterator for Overlapping<'a, K, V, R> where
+    K: Ord + Clone
+{
+}
 
-impl<'a, K, V> Iterator for Overlapping<'a, K, V>
+impl<'a, K, V, R: Borrow<RangeInclusive<K>>> Iterator for Overlapping<'a, K, V, R>
 where
     K: Ord + Clone,
 {
@@ -827,7 +832,7 @@ where
 
     fn next(&mut self) -> Option<Self::Item> {
         if let Some((k, v)) = self.btm_range_iter.next() {
-            if k.start() <= self.query_range.end() {
+            if k.start() <= self.query_range.borrow().end() {
                 Some((&k.range, v))
             } else {
                 // The rest of the items in the underlying iterator
@@ -1503,7 +1508,7 @@ mod tests {
     // Overlapping tests
 
     #[test]
-    fn overlapping_with_empty_map() {
+    fn overlapping_ref_with_empty_map() {
         // 0 1 2 3 4 5 6 7 8 9
         // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
         let range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
@@ -1517,6 +1522,21 @@ mod tests {
         assert_eq!(overlapping.next(), None);
     }
 
+    #[test]
+    fn overlapping_owned_with_empty_map() {
+        // 0 1 2 3 4 5 6 7 8 9
+        // ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌ ◌
+        let range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
+        // 0 1 2 3 4 5 6 7 8 9
+        // ◌ ◆-------------◆ ◌
+        let query_range = 1..=8;
+        let mut overlapping = range_map.overlapping(query_range);
+        // Should not yield any items.
+        assert_eq!(overlapping.next(), None);
+        // Gaps iterator should be fused.
+        assert_eq!(overlapping.next(), None);
+    }
+
     #[test]
     fn overlapping_partial_edges_complete_middle() {
         let mut range_map: RangeInclusiveMap<u32, ()> = RangeInclusiveMap::new();
diff --git a/src/inclusive_set.rs b/src/inclusive_set.rs
index fcc73c4..ff99a49 100644
--- a/src/inclusive_set.rs
+++ b/src/inclusive_set.rs
@@ -1,3 +1,4 @@
+use core::borrow::Borrow;
 use core::cmp::Ordering;
 use core::fmt::{self, Debug};
 use core::iter::FromIterator;
@@ -189,7 +190,7 @@ where
     /// either partially or completely overlapped by the given range.
     ///
     /// The iterator element type is `RangeInclusive<T>`.
-    pub fn overlapping<'a>(&'a self, range: &'a RangeInclusive<T>) -> Overlapping<T> {
+    pub fn overlapping<R: Borrow<RangeInclusive<T>>>(&self, range: R) -> Overlapping<T, R> {
         Overlapping {
             inner: self.rm.overlapping(range),
         }
@@ -393,14 +394,17 @@ where
 /// documentation for more.
 ///
 /// [`overlapping`]: RangeInclusiveSet::overlapping
-pub struct Overlapping<'a, T> {
-    inner: crate::inclusive_map::Overlapping<'a, T, ()>,
+pub struct Overlapping<'a, T, R: Borrow<RangeInclusive<T>> = &'a RangeInclusive<T>> {
+    inner: crate::inclusive_map::Overlapping<'a, T, (), R>,
 }
 
 // `Overlapping` is always fused. (See definition of `next` below.)
-impl<'a, T> core::iter::FusedIterator for Overlapping<'a, T> where T: Ord + Clone {}
+impl<'a, T, R: Borrow<RangeInclusive<T>>> core::iter::FusedIterator for Overlapping<'a, T, R> where
+    T: Ord + Clone
+{
+}
 
-impl<'a, T> Iterator for Overlapping<'a, T>
+impl<'a, T, R: Borrow<RangeInclusive<T>>> Iterator for Overlapping<'a, T, R>
 where
     T: Ord + Clone,
 {
diff --git a/src/map.rs b/src/map.rs
index 84ae641..761b247 100644
--- a/src/map.rs
+++ b/src/map.rs
@@ -2,6 +2,7 @@ use super::range_wrapper::RangeStartWrapper;
 use crate::range_wrapper::RangeEndWrapper;
 use crate::std_ext::*;
 use alloc::collections::BTreeMap;
+use core::borrow::Borrow;
 use core::cmp::Ordering;
 use core::fmt::{self, Debug};
 use core::iter::FromIterator;
@@ -177,10 +178,11 @@ where
 
     /// Gets an iterator over all the stored ranges that are
     /// either partially or completely overlapped by the given range.
-    pub fn overlapping<'a>(&'a self, range: &'a Range<K>) -> Overlapping<K, V> {
+    pub fn overlapping<R: Borrow<Range<K>>>(&self, range: R) -> Overlapping<K, V, R> {
         // Find the first matching stored range by its _end_,
         // using sneaky layering and `Borrow` implementation. (See `range_wrappers` module.)
-        let start_sliver = RangeEndWrapper::new(range.start.clone()..range.start.clone());
+        let start_sliver =
+            RangeEndWrapper::new(range.borrow().start.clone()..range.borrow().start.clone());
         let btm_range_iter = self
             .btm
             .range::<RangeEndWrapper<K>, (Bound<&RangeEndWrapper<K>>, Bound<_>)>((
@@ -706,15 +708,18 @@ where
 /// documentation for more.
 ///
 /// [`overlapping`]: RangeMap::overlapping
-pub struct Overlapping<'a, K, V> {
-    query_range: &'a Range<K>,
+pub struct Overlapping<'a, K, V, R: Borrow<Range<K>> = &'a Range<K>> {
+    query_range: R,
     btm_range_iter: alloc::collections::btree_map::Range<'a, RangeStartWrapper<K>, V>,
 }
 
 // `Overlapping` is always fused. (See definition of `next` below.)
-impl<'a, K, V> core::iter::FusedIterator for Overlapping<'a, K, V> where K: Ord {}
+impl<'a, K, V, R: Borrow<Range<K>>> core::iter::FusedIterator for Overlapping<'a, K, V, R> where
+    K: Ord
+{
+}
 
-impl<'a, K, V> Iterator for Overlapping<'a, K, V>
+impl<'a, K, V, R: Borrow<Range<K>>> Iterator for Overlapping<'a, K, V, R>
 where
     K: Ord,
 {
@@ -722,7 +727,7 @@ where
 
     fn next(&mut self) -> Option<Self::Item> {
         if let Some((k, v)) = self.btm_range_iter.next() {
-            if k.start < self.query_range.end {
+            if k.start < self.query_range.borrow().end {
                 Some((&k.range, v))
             } else {
                 // The rest of the items in the underlying iterator
diff --git a/src/set.rs b/src/set.rs
index 5947b21..e375244 100644
--- a/src/set.rs
+++ b/src/set.rs
@@ -1,3 +1,4 @@
+use core::borrow::Borrow;
 use core::cmp::Ordering;
 use core::fmt::{self, Debug};
 use core::iter::FromIterator;
@@ -163,7 +164,7 @@ where
     /// either partially or completely overlapped by the given range.
     ///
     /// The iterator element type is `&Range<T>`.
-    pub fn overlapping<'a>(&'a self, range: &'a Range<T>) -> Overlapping<T> {
+    pub fn overlapping<R: Borrow<Range<T>>>(&self, range: R) -> Overlapping<T, R> {
         Overlapping {
             inner: self.rm.overlapping(range),
         }
@@ -361,14 +362,17 @@ where
 /// documentation for more.
 ///
 /// [`overlapping`]: RangeSet::overlapping
-pub struct Overlapping<'a, T> {
-    inner: crate::map::Overlapping<'a, T, ()>,
+pub struct Overlapping<'a, T, R: Borrow<Range<T>> = &'a Range<T>> {
+    inner: crate::map::Overlapping<'a, T, (), R>,
 }
 
 // `Overlapping` is always fused. (See definition of `next` below.)
-impl<'a, T> core::iter::FusedIterator for Overlapping<'a, T> where T: Ord + Clone {}
+impl<'a, T, R: Borrow<Range<T>>> core::iter::FusedIterator for Overlapping<'a, T, R> where
+    T: Ord + Clone
+{
+}
 
-impl<'a, T> Iterator for Overlapping<'a, T>
+impl<'a, T, R: Borrow<Range<T>>> Iterator for Overlapping<'a, T, R>
 where
     T: Ord + Clone,
 {