diff --git a/README.md b/README.md
index 45f0fe0..8f9b047 100644
--- a/README.md
+++ b/README.md
@@ -131,7 +131,7 @@ Creates the Redux store, and allow `connect()` to access it.
 Connects an Angular component to Redux.
 
 #### Arguments
-* `mapStateToTarget` \(*Function*): connect will subscribe to Redux store updates. Any time it updates, mapStateToTarget will be called. Its result must be a plain object, and it will be merged into `target`. If you have a component which simply triggers actions without needing any state you can pass null to `mapStateToTarget`.
+* `mapStateToTarget` \(*Function*): connect will subscribe to Redux store updates. Any time it updates, mapStateToTarget will be called. Its result must be a plain object or a function returning a plaing object, and it will be merged into `target`. If you have a component which simply triggers actions without needing any state you can pass null to `mapStateToTarget`.
 * [`mapDispatchToTarget`] \(*Object* or *Function*): Optional. If an object is passed, each function inside it will be assumed to be a Redux action creator. An object with the same function names, but bound to a Redux store, will be merged onto `target`. If a function is passed, it will be given `dispatch`. It’s up to you to return an object that somehow uses `dispatch` to bind action creators in your own way. (Tip: you may use the [`bindActionCreators()`](http://gaearon.github.io/redux/docs/api/bindActionCreators.html) helper from Redux.).
 
 *You then need to invoke the function a second time, with `target` as parameter:*
@@ -148,7 +148,7 @@ connect(this.mapState, this.mapDispatch)((selectedState, actions) => {/* ... */}
 Returns a *Function* allowing to unsubscribe from further store updates.
 
 #### Remarks
-* The `mapStateToTarget` function takes a single argument of the entire Redux store’s state and returns an object to be passed as props. It is often called a selector. Use reselect to efficiently compose selectors and compute derived data.
+* The `mapStateToTarget` function takes a single argument of the entire Redux store’s state and returns an object to be passed as props. It is often called a selector. Use reselect to efficiently compose selectors and compute derived data. You can also choose to use per-instance memoization by having a `mapStateToTarget` function returning a function of state, see [Sharing selectors across multiple components](https://github.com/reactjs/reselect#user-content-sharing-selectors-with-props-across-multiple-components)
 
 
 
diff --git a/src/components/connector.js b/src/components/connector.js
index 949c7b3..ac00724 100644
--- a/src/components/connector.js
+++ b/src/components/connector.js
@@ -13,7 +13,7 @@ const defaultMapDispatchToTarget = dispatch => ({dispatch});
 export default function Connector(store) {
   return (mapStateToTarget, mapDispatchToTarget) => {
 
-    const finalMapStateToTarget = mapStateToTarget || defaultMapStateToTarget;
+    let finalMapStateToTarget = mapStateToTarget || defaultMapStateToTarget;
 
     const finalMapDispatchToTarget = isPlainObject(mapDispatchToTarget) ?
       wrapActionCreators(mapDispatchToTarget) :
@@ -29,7 +29,13 @@ export default function Connector(store) {
       'mapDispatchToTarget must be a plain Object or a Function. Instead received %s.', finalMapDispatchToTarget
       );
 
-    let slice = getStateSlice(store.getState(), finalMapStateToTarget);
+    let slice = getStateSlice(store.getState(), finalMapStateToTarget, false);
+    const isFactory = isFunction(slice);
+
+    if (isFactory) {
+      finalMapStateToTarget = slice;
+      slice = getStateSlice(store.getState(), finalMapStateToTarget);
+    }
 
     const boundActionCreators = finalMapDispatchToTarget(store.dispatch);
 
@@ -64,14 +70,22 @@ function updateTarget(target, StateSlice, dispatch) {
   }
 }
 
-function getStateSlice(state, mapStateToScope) {
+function getStateSlice(state, mapStateToScope, shouldReturnObject = true) {
   const slice = mapStateToScope(state);
 
-  invariant(
-    isPlainObject(slice),
-    '`mapStateToScope` must return an object. Instead received %s.',
-    slice
-    );
+  if (shouldReturnObject) {
+    invariant(
+      isPlainObject(slice),
+      '`mapStateToScope` must return an object. Instead received %s.',
+      slice
+      );
+  } else {
+    invariant(
+      isPlainObject(slice) || isFunction(slice),
+      '`mapStateToScope` must return an object or a function. Instead received %s.',
+      slice
+      );
+  }
 
   return slice;
 }
diff --git a/test/components/connector.spec.js b/test/components/connector.spec.js
index 7d2265a..780b8e4 100644
--- a/test/components/connector.spec.js
+++ b/test/components/connector.spec.js
@@ -31,8 +31,9 @@ describe('Connector', () => {
     expect(connect(() => ({})).bind(connect, () => {})).toNotThrow();
   });
 
-  it('Should throw when selector does not return a plain object', () => {
+  it('Should throw when selector does not return a plain object or a function', () => {
     expect(connect.bind(connect, state => state.foo)).toThrow();
+    expect(connect.bind(connect, state => state => state.foo)).toThrow();
   });
 
   it('Should extend target (Object) with selected state once directly after creation', () => {
@@ -67,6 +68,20 @@ describe('Connector', () => {
 
   });
 
+  it('should update the target (Object) if a function is returned instead of an object', () => {
+    connect(state => state => state)(targetObj);
+    store.dispatch({ type: 'ACTION', payload: 5 });
+
+    expect(targetObj.baz).toBe(5);
+
+    targetObj.baz = 0;
+
+    //this should not replace our mutation, since the state didn't change
+    store.dispatch({ type: 'ACTION', payload: 5 });
+
+    expect(targetObj.baz).toBe(0);
+  });
+
   it('Should extend target (object) with actionCreators', () => {
     connect(() => ({}), { ac1: () => { }, ac2: () => { } })(targetObj);
     expect(isFunction(targetObj.ac1)).toBe(true);