User talk:Cousotp
Cousotp, you are invited to the Teahouse
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Hi Cousotp! Thanks for contributing to Wikipedia. |
Welcome!
[edit]Hello, Cousotp, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are a few links to pages you might find helpful:
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before the question. Again, welcome! Racklever (talk) 20:05, 5 June 2014 (UTC)
Galois connection
[edit]Hi! You recently added a remark at Galois_connection#Applications_in_the_theory_of_programming that your POPL 1977 article only considers complete lattices, while the counterexample uses arbitrary partial orders. It seems that your objection has a point: the counterexample indeed is no lattice, let alone a complete one.
However, I guess that its basic idea (to use self-similarity to obtain embeddings in both directions, but no isomorphism) might carry over to some complete lattices, too. Meanwhile, I believe to have constructed a counterexample (based on complete lattices, and even linear orders) in File:GaloisEmbeddings Complete Lattices.pdf, and would appreciate if you could comment on it. Many thanks in advance. Best regards - Jochen Burghardt (talk) 16:40, 7 June 2022 (UTC)