Let f1: M1 → M2 be a homotopic equivalence and N ⊂ m2 a subvariety of codimensionality one. In this paper we indicate the conditions under which there is a mapping f2 ~ f1 such that the variety f2-1(N) is simply homotopically equivalent to the variety N.
|Number of pages||5|
|Journal||Mathematical Notes of the Academy of Sciences of the USSR|
|Publication status||Published - Aug 1972|