Главная форма->Компонент 1->Компонент 2->...->Кнопка

<app-main>
    <app-cmp1 (myEvent)="onMyEvent($event)">
        <app-cmp2 (myEvent)="onMyEvent($event)">
            <app-cmp3 (myEvent)="onMyEvent($event)">
                <button (click)="sendMyEventUp()">
                </button>
            </app-cmp3>
        </app-cmp2>
    </app-cmp1>
</app-main>