Please show us what you have tried and exactly where you are stuck.Show that $\nexists $ does not exist (I did not find the symbol in latex) $ f: S^{m}->S^{n}$
continuous application $m > n$ $Af=fA$ if and only if it does not exist $ g: S^{n+1}->S^{n}$
keep going $Ag=gA$
Please show us what you have tried and exactly where you are stuck.Please help problem