Meital Posted April 11, 2005 Share Posted April 11, 2005 If X is a linear continuum space how do we show that all convex subsets of X must inheret the linear contiuum axioms, that is, they have betweenness and least upper bound property. Thanks. Link to comment Share on other sites More sharing options...
ElijahJones Posted August 29, 2005 Share Posted August 29, 2005 Thats a deep question. Are you studying foundations? I had a great little book once by Paul Cohen where he proved that the continuum hypothesis is optional as an axiom. I loned it to an undergrad and never saw it again. Link to comment Share on other sites More sharing options...
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