@article{octavio1985nonexistence, abstract = {We prove that there is no free object over a countable set in the category of complete distributive lattices with homomorphisms preserving binary meets and arbitrary joins.}, author = {Garcia, Octavio and Nelson, Evelyn}, interhash = {c4a8aeddff294dbdd727c05059ab2050}, intrahash = {d4ce23539ea3bc784068e93dc70387aa}, journal = {Order}, month = {December}, number = 4, pages = {399--403}, title = {On the nonexistence of free complete distributive lattices}, url = {http://dx.doi.org/10.1007/BF00582745}, volume = 1, year = 1985 } @article{hales1964nonexistence, author = {Hales, A. W.}, interhash = {2e2b85532b56b6caaac29b23e33f972f}, intrahash = {4d17473cee1aa8c33d821aacf2fbb95c}, journal = {Fundamentae Mathematica}, pages = {45-66}, title = {On the non-existence of free complete Boolean algebras}, url = {http://matwbn.icm.edu.pl/tresc.php?wyd=1&tom=54}, volume = 54, year = 1964 }