This paper is concerned with the number of solutions of three kinds of equations. Let f,g X approaches Y and h X approaches X be maps, and let y sub 0 be a member of Y. The equations we will study are 1 fx gx, 2 fx y sub 0, and 3 hx x. In a previous paper, the first author defined a lower bound N for the number of solutions of these equations which remains such a lower bound when f,g, and h are moved through homotopies. The number N is called the Delta-Nielsen number of the equation.
Prepared in cooperation with California Univ., Los Angeles, under Grant NSF-GP-4018.