Subject: Question From: "boccellari" Date: Wed, 19 Jan 2005 20:29:05 +0100 To: Dear Professor Davies, I would like to submit a question to the kind attention of you and, if it is the case, of your mailing list. I would like to have a reference about the following problem whose answer should be well known. Consider two smooth maps f,g : S^n ------> S^m between spheres, suppose they are homotopic. Is it true that they are homotopic through a smooth map H : S^n x I -------> S^m ? Thank you for your kind attention Tommaso Boccellari