""Table of Contents""; "" 0 Introduction and statement of main theorem""; "" 1 The codimension 2 intersection pairing, (λ, Î?)""; "" 1.0 Motivation""; "" 1.1 (λ, Î?) defined for presented-proper immersions""; "" 1.2 (λ, Î?) is well defined for presented-proper immersions""; "" 1.3 Conditions for (λ, Î?) to be well defined on Ï€[sub(n+1)](U, â??)""; "" 2 Taut submanifolds and branched-covers""; "" 2.0 The homotopy groups of the branched covering projection""; "" 2.1 Symmetric elements of on Ï€[sub(n+1)](N)"" |