Subject: Re: question for list From: Osamu Saeki Date: Fri, 12 Nov 2004 17:17:21 +0900 To: Don Davis CC: Don Davis , saeki@math.kyushu-u.ac.jp Text book about the Whitney Theorem: I think Chapter 0 of M.Adachi's book "Embeddings and immersions" (Translations of Mathematical Monographs, 124, AMS, 1993) is a good source for graduate students. It is based on Whitney's treatment and is elementary. Osamu Saeki >>I have a question for the list. >> >>Can somebody tell me where can I find a simple proof of the Whitney >>Theorem on >>immersions of the circle into the plane (the class of regular homotopy is >>completely determined by the winding number). I need some text book or >>survey >>paper, easy enough for graduate students. >> >>Yuli >> >>Dr. Yuli B. Rudyak >>Department of Mathematics >>University of Florida >>358 Little Hall >>PO Box 118105 >>Gainesville, FL 32611-8105 >>USA >>TEL: (+1) 352-392-0281 ext. 319(office) >>TEL: (+1) 352-381-8497(home) >>FAX: (+1) 352-392-8357 >>URL: http://www.math.ufl.edu/~rudyak/ ********************************************************************** Osamu Saeki Faculty of Mathematics Kyushu University Hakozaki, Fukuoka 812-8581 Japan Tel & Fax: +(81)92(642)2746 e-mail: saeki@math.kyushu-u.ac.jp home page: http://www.math.kyushu-u.ac.jp/~saeki/index.html **********************************************************************