With a very smooth concrete it may need to be roughened up or etched using an acid based solution designed for this purpose.
Holes must be filled in and float off any dips, humps, or waves on the concrete foundation using a portland cement based floor leveler. Then, you must allow the leveler to cure for at least 24 hours before the tile or wood flooring can be installed.
When it comes to any wood flooring products, always go by the manufactures warranty on the structural integrity and what is the proper adhesive bond.
Next, find out from the manufacture about laying flooring over an existing concrete some may want new subfloor plywood or wood strips to be nailed down.
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Tile, as mentioned below needs to be laid on thinset and I don't think it will stick to the polish properly but am unsure what you would need to do to prepare the surface. You could ask at a big box place, your local hardware store, or better yet - ask someone who installs tile for a living how that would work.