Encajes de hiperespacios
by
Gloria Guadalupe Andablo Reyes
Universidad Nacional Autónoma de México

Let X and Y be metric continua. Let C(X) and C(Y) be the hyperspace of subcontinua of X and Y, respectively. A mapping G:C(X) --> C(Y) is an ordered embedding if it is one to one and G(A) subset G(B) whenever A subset B; in this case we say that C(X) can be orderly embedded in C(Y). In this talk we will present some results concerning the following problem: For what continua X and Y can C(X) be orderly embedded in C(Y)? As examples we know; C(circle) and C(sin(1/x)) can be orderly embedded in C(simple triod), and C(noose) can be orderly embedded in C(simple 4-odd).

Date received: February 9, 2001