Polymer structures and methods for making such polymer structures are provided. More particularly, polymer structures comprising a hydroxyl polymer structure, such as a fiber comprising a hydroxyl polymer are provided. Even more particularly, fibrous structures comprising a hydroxyl polymer structure, such as a fiber comprising a hydroxyl polymer, wherein the fibrous structure exhibits a CETM Factor of less than 20 and/or a CETM*L.sup.2 Factor of less than 950 are provided.