Nice algebraic statements independent from ZF + V=L (constructibility)
Background and motivationI've always been fascinated about algebraic statements independent from ZFC set theory. One such fascinating example comes from considering...
View ArticleAnswer by Joel David Hamkins for Nice algebraic statements independent from...
Let me address the part of your question seeking algebraic statements independent of ZFC+V=L.The basic situation is that in set theory our tools are not so flexible for finding statementsindependent of...
View ArticleAnswer by Avshalom for Nice algebraic statements independent from ZF + V=L...
One can find examples of algebraic statements that are independent of ZFC + $V = L$ by considering "absolute" versions of standard algebraic propositions. This happens for example when one seeks large...
View ArticleAnswer by Robert Furber for Nice algebraic statements independent from ZF +...
We can use a theorem of Eklof and Mekler to get a statement about abelian groups that is independent of $ZFC + V=L$ under the additional assumption that it is consistent that weakly compact cardinals...
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