16 Oct
2003
16 Oct
'03
9:54 a.m.
Well is anthing wrong with this one then; Let P_n be a compact, simply connected n-mainfold. It is known that P_n is homeomorphic to S_n for n>=4. As P_4 for example is homeomorphic to S_4, and P_7 is homeomorphic to S_7, then P_4*P_3=P_7 must be homeomorphic to S_7=S_4*S_3, so P_3 is homeomorphic to S_3. Jon Perry perry@globalnet.co.uk http://www.users.globalnet.co.uk/~perry/maths/ http://www.users.globalnet.co.uk/~perry/DIVMenu/ BrainBench MVP for HTML and JavaScript http://www.brainbench.com