We are currently renovating a property and one thing we are having is a mix of ethernet and wifi throughout the property.

The property itself is on four floors and the DSL will be in the basement. As a consequence the wifi on its own will not reach the top floor.

So, my intention is to create a network accordingly, where the computers will be connected via Cat6 ethernet, but also have a mesh wifi throughout the property for tablets and phones.

So, this is the current configuration that is currently in the process of being fitted.

Bottom floor. DSL incoming from outside with the standard Wifi router.

Cat 6 to a multiport switch next to it, which will feed all cat6 sockets throughout.

Now the interesting bit. 

5 Range extenders, with Mesh capability, are placed on each floor, with connections via Cat6 ethernet back to the switch, and then feeding a Mesh network throughout the property for seamless wifi whilst you go up and down the property. 

Now, can this be done? Can you have the same wifi network name as the DSL router from which ever ISP when the range extenders are connected via the switch? 

Does the DSL router have to be from the same make (TPlink) and forget the DSL router from the ISP supplier?

In effect what I am wanting is the range extenders to be an access point rather that just a range extender, basically what mesh should do, especially as for maximising signal, I am going for five of the plug in types that TPlink provide. The RE450 unit is the one I am thinking of for this purpose.