User tom bath - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T01:53:50Z http://mathoverflow.net/feeds/user/4286 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/16604/left-adjoint-grp-set Left adjoint Grp->Set?? Tom Bath 2010-02-27T14:18:22Z 2010-02-27T14:21:21Z <p>Was wondering if someone could help. I am just about getting to grips with cateogry theory and adjoints. I have a query though, reading through some material.</p> <p>Does the forgetful functor from the category Group of groups to Set have a left adjoint?</p> http://mathoverflow.net/questions/16604/left-adjoint-grp-set Comment by Tom Bath Tom Bath 2010-02-28T17:06:44Z 2010-02-28T17:06:44Z Yea Im a computer scientist so need to get to grips with this! http://mathoverflow.net/questions/16604/left-adjoint-grp-set/16605#16605 Comment by Tom Bath Tom Bath 2010-02-28T12:32:58Z 2010-02-28T12:32:58Z thanks everyone! http://mathoverflow.net/questions/16604/left-adjoint-grp-set/16605#16605 Comment by Tom Bath Tom Bath 2010-02-27T14:32:32Z 2010-02-27T14:32:32Z Wow quick! Thanks! I need to start proving these types of questions. Do you know where I could get a model proof for this? It would be great to see a perfect answer before I try to do similar on other functors :)