Abstract
THD PAPER is motivated by the desire to enumerate the classes of immersions of manifolds in euclidean spaces. There is no problem in the stable range: all immersions are equivalent by Whitney’s theorem. We concentrate on dimensions just out of this range. Hirsch [l] has reduced the problem to one of homotopy theory. In a preliminary note [3] we have reformulated the relevant part of his result so as to make it susceptible to the methods of Postnikov theory. Thus the immersion problem can be regarded as a special case of the following one.
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