I have a VF page which lists a repeating block of data (a custom object). I can add a new object or delete one. When I add a new one the page displays the newly added object on return from the remote call. When I delete an object however, it does not seem to refresh the page and remove the deleted one.

How do I get it to refresh the page after having deleted something on the page?

This is what my page looks like. When I click on the 'Remove Call Cycle Event' button it runs the Javascript below the image, which calls the @RemoteAction in my controller. What do I need to do for it to remove the block I clicked the button on?

In my VF page:
            jCC$(".remCCA").click(function() {
                var ccaId = this.id;
                if(ccaId != ''){
                    CallCycleController.RemoveCallCycleActivity(ccaId, function(result, event){
                        var foo = result;
                        alert('CallCycle Activity has been deleted');
                });
                return false;
            });

In my Controller:
  @RemoteAction
  public static void RemoveCallCycleActivity(string remId){
    CallCycleActivity__c delCCA = [Select Id, ActivityId__c From CallCycleActivity__c Where Id=:remId];
    delete delCCA; 
  }