diff --git a/emitter-and-signal/Cargo.toml b/emitter-and-signal/Cargo.toml
index 27bde7c..ee4560c 100644
--- a/emitter-and-signal/Cargo.toml
+++ b/emitter-and-signal/Cargo.toml
@@ -7,4 +7,5 @@ license = { workspace = true }
 [dependencies]
 deranged = { workspace = true }
 ext-trait = { workspace = true }
+snafu = { workspace = true }
 tokio = { workspace = true, features = ["sync"] }
diff --git a/emitter-and-signal/src/emitter.rs b/emitter-and-signal/src/emitter.rs
index 5e2251f..fa58d3b 100644
--- a/emitter-and-signal/src/emitter.rs
+++ b/emitter-and-signal/src/emitter.rs
@@ -1,12 +1,9 @@
-use std::{future::Future, num::NonZero};
-
-use deranged::RangedUsize;
-use tokio::{
-    sync::{broadcast, mpsc},
-    task::JoinHandle,
-};
-
 use super::ProducerExited;
+use deranged::RangedUsize;
+use snafu::Snafu;
+use std::{future::Future, num::NonZero};
+use tokio::sync::{broadcast, mpsc};
+pub use tokio::task::JoinError;
 
 #[derive(Debug)]
 pub struct Publisher<T> {
@@ -47,7 +44,7 @@ impl<T> Emitter<T> {
     pub fn new<R, Fut>(
         producer: impl FnOnce(PublisherStream<T>) -> Fut,
         capacity: Capacity,
-    ) -> (Self, JoinHandle<R>)
+    ) -> (Self, impl Future<Output = Result<R, JoinError>>)
     where
         Fut: Future<Output = R> + Send + 'static,
         T: Clone,
@@ -93,8 +90,12 @@ pub struct Subscription<T> {
     receiver: broadcast::Receiver<T>,
 }
 
+#[derive(Debug, Clone, Snafu)]
 pub enum NextError {
-    ProducerExited(ProducerExited),
+    /// the producer backing this emitter exited
+    ProducerExited { source: ProducerExited },
+
+    /// the broadcast channel underlying this emitter lagged and {skipped_events} events were skipped
     Lagged { skipped_events: NonZero<u64> },
 }
 
@@ -104,7 +105,9 @@ impl<T> Subscription<T> {
         T: Clone,
     {
         self.receiver.recv().await.map_err(|err| match err {
-            broadcast::error::RecvError::Closed => NextError::ProducerExited(ProducerExited),
+            broadcast::error::RecvError::Closed => NextError::ProducerExited {
+                source: ProducerExited,
+            },
             broadcast::error::RecvError::Lagged(skipped_events) => NextError::Lagged {
                 skipped_events: skipped_events
                     .try_into()
diff --git a/emitter-and-signal/src/emitter_ext.rs b/emitter-and-signal/src/emitter_ext.rs
index 529e505..a555daa 100644
--- a/emitter-and-signal/src/emitter_ext.rs
+++ b/emitter-and-signal/src/emitter_ext.rs
@@ -1,11 +1,17 @@
-use ext_trait::extension;
-use tokio::{select, task::JoinHandle};
+use std::future::Future;
 
-use super::emitter::{Capacity, Emitter, NextError};
+use ext_trait::extension;
+use tokio::select;
+
+use super::emitter::{Capacity, Emitter, JoinError, NextError};
 
 #[extension(pub trait EmitterExt)]
 impl<T> Emitter<T> {
-    fn map<M, F>(self, mut func: F, capacity: Capacity) -> (Emitter<M>, JoinHandle<()>)
+    fn map<M, F>(
+        self,
+        mut func: F,
+        capacity: Capacity,
+    ) -> (Emitter<M>, impl Future<Output = Result<(), JoinError>>)
     where
         T: Send + 'static + Clone,
         M: Send + 'static + Clone,
@@ -28,7 +34,7 @@ impl<T> Emitter<T> {
                                 match event_res {
                                     Ok(event) => publisher.publish(func(event)),
                                     Err(NextError::Lagged { .. }) => {},
-                                    Err(NextError::ProducerExited(_)) => return,
+                                    Err(NextError::ProducerExited { .. }) => return,
                                 }
                             }
                         }
@@ -39,7 +45,11 @@ impl<T> Emitter<T> {
         )
     }
 
-    fn filter<F>(self, mut func: F, capacity: Capacity) -> (Emitter<T>, JoinHandle<()>)
+    fn filter<F>(
+        self,
+        mut func: F,
+        capacity: Capacity,
+    ) -> (Emitter<T>, impl Future<Output = Result<(), JoinError>>)
     where
         T: Send + 'static + Clone,
         F: Send + 'static + FnMut(&T) -> bool,
@@ -63,7 +73,7 @@ impl<T> Emitter<T> {
                                         publisher.publish(event)
                                     },
                                     Err(NextError::Lagged { .. }) => {},
-                                    Err(NextError::ProducerExited(_)) => return,
+                                    Err(NextError::ProducerExited { .. }) => return,
                                 }
                             }
                         }
@@ -74,7 +84,11 @@ impl<T> Emitter<T> {
         )
     }
 
-    fn filter_mut<F>(self, mut func: F, capacity: Capacity) -> (Emitter<T>, JoinHandle<()>)
+    fn filter_mut<F>(
+        self,
+        mut func: F,
+        capacity: Capacity,
+    ) -> (Emitter<T>, impl Future<Output = Result<(), JoinError>>)
     where
         T: Send + 'static + Clone,
         F: Send + 'static + FnMut(&mut T) -> bool,
@@ -98,7 +112,7 @@ impl<T> Emitter<T> {
                                         publisher.publish(event)
                                     },
                                     Err(NextError::Lagged { .. }) => {},
-                                    Err(NextError::ProducerExited(_)) => return,
+                                    Err(NextError::ProducerExited { .. }) => return,
                                 }
                             }
                         }
@@ -109,7 +123,11 @@ impl<T> Emitter<T> {
         )
     }
 
-    fn filter_map<M, F>(self, mut func: F, capacity: Capacity) -> (Emitter<M>, JoinHandle<()>)
+    fn filter_map<M, F>(
+        self,
+        mut func: F,
+        capacity: Capacity,
+    ) -> (Emitter<M>, impl Future<Output = Result<(), JoinError>>)
     where
         T: Send + 'static + Clone,
         M: Send + 'static + Clone,
@@ -134,7 +152,7 @@ impl<T> Emitter<T> {
                                         publisher.publish(mapped)
                                     },
                                     Err(NextError::Lagged { .. }) => {},
-                                    Err(NextError::ProducerExited(_)) => return,
+                                    Err(NextError::ProducerExited { .. }) => return,
                                 }
                             }
                         }
diff --git a/emitter-and-signal/src/lib.rs b/emitter-and-signal/src/lib.rs
index 28de249..ff38fea 100644
--- a/emitter-and-signal/src/lib.rs
+++ b/emitter-and-signal/src/lib.rs
@@ -1,10 +1,15 @@
-pub mod emitter;
-mod emitter_ext;
-pub mod signal;
-mod signal_ext;
+use snafu::Snafu;
 
+pub mod emitter;
+pub mod emitter_ext;
+pub mod signal;
+pub mod signal_ext;
+
+pub use emitter::Emitter;
 pub use emitter_ext::EmitterExt;
+pub use signal::Signal;
 pub use signal_ext::SignalExt;
 
-#[derive(Debug, Clone, Copy)]
+/// the producer backing this [`Signal`] or [`Emitter`] exited
+#[derive(Debug, Clone, Copy, Snafu)]
 pub struct ProducerExited;
diff --git a/emitter-and-signal/src/signal.rs b/emitter-and-signal/src/signal.rs
index 792258a..46f90ec 100644
--- a/emitter-and-signal/src/signal.rs
+++ b/emitter-and-signal/src/signal.rs
@@ -3,6 +3,8 @@ use std::future::Future;
 use tokio::sync::{mpsc, watch};
 pub use tokio::task::JoinError;
 
+use crate::ProducerExited;
+
 #[derive(Debug)]
 pub struct Publisher<T> {
     sender: watch::Sender<T>,
@@ -87,9 +89,6 @@ pub struct Subscription<T> {
     receiver: watch::Receiver<T>,
 }
 
-#[derive(Debug, Clone, Copy)]
-pub struct ProducerExited;
-
 impl<T> Subscription<T> {
     pub async fn changed(&mut self) -> Result<(), ProducerExited> {
         self.receiver.changed().await.map_err(|_| ProducerExited)
diff --git a/emitter-and-signal/src/signal_ext.rs b/emitter-and-signal/src/signal_ext.rs
index f28b1ce..e873e7f 100644
--- a/emitter-and-signal/src/signal_ext.rs
+++ b/emitter-and-signal/src/signal_ext.rs
@@ -1,6 +1,55 @@
-use ext_trait::extension;
+use std::future::Future;
 
-use super::signal::Signal;
+use ext_trait::extension;
+use snafu::{ResultExt, Snafu};
+use tokio::select;
+
+use crate::ProducerExited;
+
+use super::signal::{JoinError, Signal};
+
+#[derive(Debug, Snafu)]
+pub struct ProducerAlreadyExited {
+    source: ProducerExited,
+}
 
 #[extension(pub trait SignalExt)]
-impl<T> Signal<T> {}
+impl<T> Signal<T> {
+    fn map<M, F>(
+        self,
+        mut func: F,
+    ) -> Result<(Signal<M>, impl Future<Output = Result<(), JoinError>>), ProducerAlreadyExited>
+    where
+        T: 'static + Sync + Send + Clone,
+        M: 'static + Sync + Send + Clone,
+        F: 'static + Send + FnMut(T) -> M,
+    {
+        let initial = func(self.subscribe().context(ProducerAlreadyExitedSnafu)?.get());
+
+        Ok(Signal::new(initial, |mut publisher_stream| async move {
+            while let Some(publisher) = publisher_stream.wait().await {
+                let Ok(mut subscription) = self.subscribe() else {
+                    return;
+                };
+
+                loop {
+                    select! {
+                        biased;
+                        _ = publisher.all_unsubscribed() => {
+                            break;
+                        }
+                        changed_res = subscription.changed() => {
+                            match changed_res {
+                                Ok(()) => {
+                                    let value = subscription.get();
+                                    publisher.publish(func(value))
+                                },
+                                Err(ProducerExited) => return,
+                            }
+                        }
+                    }
+                }
+            }
+        }))
+    }
+}