Uncountable ω-limit sets with isolated points

We give two examples of tent maps with uncountable (as it happens, post-critical) omega-limit sets, which have isolated points, with interesting structures. Such omega-limit sets must be of the form C boolean OR R, where C is a Cantor set and R is a scattered set. Firstly, it is known that there is a restriction on the topological structure of countable omega-limit sets for finite-to-one maps satisfying at least some weak form of expansivity. We show that this restriction does not hold if the omega-limit set is uncountable. Secondly, we give an example of an omega-limit set of the form C boolean OR R for which the Cantor set C is minimal.