Weaker forms of the property of Kelley
by
Włodzimierz J. Charatonik
Universidad Nacional Autonoma de Mexico
Coauthors: Janusz J. Charatonik

Let continua M subset K subset X be given. The continuum M is called a maximal limit continuum in K if there are continua M_n tending to M and such that for any continua A_n satisfying M_n subset A_n and limA_n subset K we have limA_n = M. A continuum X is said to be semi-Kelley if for every continuum K in X and for every two maximal limit continua P and Q in K we have P subset Q or Q subset P.

The notion generalizes the property of Kelley. We investigate properties of semi-Kelley continua.

Date received: February 13, 1998