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.
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%0 Journal Article
%1 octavio1985nonexistence
%A Garcia, Octavio
%A Nelson, Evelyn
%D 1985
%J Order
%K distributive fca free lattice nonexistence variety
%N 4
%P 399--403
%T On the nonexistence of free complete distributive lattices
%U http://dx.doi.org/10.1007/BF00582745
%V 1
%X 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.
@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.},
added-at = {2010-12-19T13:19:47.000+0100},
author = {Garcia, Octavio and Nelson, Evelyn},
biburl = {https://www.bibsonomy.org/bibtex/2d4ce23539ea3bc784068e93dc70387aa/sdo},
description = {SpringerLink - Abstract},
interhash = {c4a8aeddff294dbdd727c05059ab2050},
intrahash = {d4ce23539ea3bc784068e93dc70387aa},
journal = {Order},
keywords = {distributive fca free lattice nonexistence variety},
month = {December},
number = 4,
pages = {399--403},
timestamp = {2010-12-19T13:19:47.000+0100},
title = {On the nonexistence of free complete distributive lattices},
url = {http://dx.doi.org/10.1007/BF00582745},
volume = 1,
year = 1985
}