Angular 2: Problems with imports not finding modules

In our Ionic 2 + Angular 2 project, we had a folder "profile" in which we had "profile.html" and "profile.ts", and in the latter, we had three components which are two modals and a dialog.

As the file "profile.ts" was so big with these components, I moved two of them (the other was tiny and made sense in that same file), all to specific files in the same folder: "profileEdit.ts", "hobbiesDialog.ts", resulting in this folder tree:

$project/src/pages/profile

• profile.ts
• profile.html
• profileEdit.ts
• profileEDit.html
• profile.scss
• hobbiesDialog.ts (the template is coded inside)

So now, my profile.ts has these imports:

import { Component, Input } from '@angular/core';
import { NavController, ViewController, PopoverController, ModalController } from 'ionic-angular';
import { AlertController, ToastController, NavParams } from 'ionic-angular';
import  Parse from 'parse';

import { LoginPage } from '../login/login';
import { ProfileEditModal } from 'profileEdit';

The last one is failing: somehow, Angular can't find the module:

Uncaught Error: Cannot find module "profileEdit" at eval

I also added these modules to the app.module.ts:

// more imports
import { ProfilePage, ProfilePopover } from '../pages/profile/profile';
import { ProfileEditModal } from '../pages/profile/profileEdit';
import { HobbiesPopover } from '../pages/profile/hobbiesDialog';

Also added them in the declarations and entryComponents arrays of @NgModule.

... but it won't work! It used to work when it was in a single file, but now it doesn't. What am I doing wrong here?