creative cloud

I want to be able to erase images from the local Creative Cloud file map but still have them in the cloud. Have not find the dropbox like option.

That is the Dropbox like option. Dropbox uses a synced local folder. Why don't you use Lightroom CC to store the images in the cloud? Lightroom CC stores the originals in the cloud, and you do not have to keep a local copy if you don't want to.

I dont like Lightroom CC.
I think Lightroom Classic is better.

In that case you're out of luck. Lightroom Classic needs the images to be stored locally. You can sync a backup copy of the images to the cloud (any cloud) if you want to, but you can't have the images only in the cloud.

Petter is asking for selective sync, that has been requested fo a long long time by many many paying customers.

No, he's not asking for selective sync. Lightroom Classic already has selective sync. You only sync those images that you want to sync. Lightroom CC does not have selected sync; everything is synced. But Petter says he does not (want to) use Lightroom CC.

What Petter asks is to have Lightroom Classic store originals in the cloud, and only in the cloud.

I want to have the possible to select what picture that sync in both direction. Both computer and cloud, only computer and only cloud. Sorry for my english.

Well, like already explained, that is not going to happen for Lightroom Classic. Lightroom Classic is the local storage version of Lightroom, so changing that would not make any sense. Selective sync may happen for Lightroom (CC) one day, who knows.